NCERT Exemplar Class 6 Maths Fractions and Decimals Solution: NCERT Exemplar Solution Class 6 Maths Chapter 4 Fractions and Decimals Full Explanation. NCERT Exemplar Class 6 Maths – Chapter 4 Fractions and Decimals. NCERT Exemplar Class 6 Maths Fractions and Decimals Solution by Expert.
NCERT Exemplar Class 6 Maths Fractions and Decimals Solution
In questions 1 to 20, out of the four options, only one answer is correct. Choose the correct answer.
Question 1:
The fraction which is not equal to 4/5 is
(A) 40/50
(B) 12/15
(C) 16/20
(D) 9/15
Solution:
Answer (D) 9/15 is not equal to 4/5 and all fraction from these option equal to 4/5 like that (A) 40/50 = 4/5
(B) 12/15 = 4/5
(c) 16/20 = 4×4/4×5 == 4/5
Question 2:
The two consecutive integers between which the fraction 5/7 lies are
(A) 5 and 6
(B) 0 and 1
(C) 5 and 7
(D) 6 and 7
Solution:
Answer (B)
5/7 = 0.714 the two consecutive integers between 0 and 1 the fraction 5/7 lies.
Question 3:
When 1/4 is written with denominator as 12, its numerator is
(A) 3
(B) 8
(C) 24
(D) 12
Solution:
Answer (A)
When 1/4 as written with denomination as 12 its numerator is 3.
1/4 = (1×3)/(4×3) = 3/12
Question 4:
Which of the following is not in the lowest form?
(A) 7/5
(B) 15/20
(C) 13/33
(D) 27/28
Solution: Answer (B) 15/20
Question 5:
If 5/8 = 20/p, then value of p is
(A) 23
(B) 2
(C) 32
(D) 16
Solution: Answer (C)
If, 5/8 = 20/p, then the value of p is 32.
5/8 = (4 x 5)/(4 x 8) = 20/(32 = p)
Question 6:
Which of the following is not equal to the others?
(A) 6/8
(B) 12/16
(C) 15/25
(D) 18/24
Solution: Answer (C) Is not equal to the others because all fraction in option is in 3/4 form.
Question 7:
Which of the following fractions is the greatest?
(A) 5/7
(B) 5/6
(C) 5/9
(D) 5/8
Solution: Answer (B) This fraction is the greatest among all.
Question 8:
Which of the following fractions is the smallest?
(A) 7/8
(B) 9/8
(C) 3/8
(D) 5/8
Solution: Answer (C) 3/8 is smallest fraction among all.
Question 9:
Sum of 4/17 and 15/17 is
(A) 19/17
(B) 11/17
(C) 19/34
(D) 2/17
Solution: Answer (A) 19/17
14/17 + 15/17 = (14+15)/17 = 19/17
Question 10:
On subtracting 5/9 from 19/9, the result is
(A) 24/9
(B) 14/9
(C) 14/18
(D) 14/0
Solution: Answer (B)
19/9 – 5/9 = (19-5)/9 = 14/9
Question 11:
0.7499 lies between
(A) 0.7 and 0.74
(B) 0.75 and 0.79
(C) 0.749 and 0.75
(D) 0.74992 and 0.75
Solution: Answer (C)
0.7499 lies between 0.749 and 0.75.
Question 12:
0. 023 lies between
(A) 0.2 and 0.3
(B) 0.02 and 0.03
(C) 0.03 and 0.029
(D) 0.026 and 0.024
Solution: Answer (B)
0.023 lies between 0.02 and 0.03.
Question 13:
11/7 can be expressed in the form
(A) 7 1/4
(B) 4 1/7
(C) 1 4/7
(D) 1 1/7
Solution: Answer (c)
11/7 can be expressed in the form of 4/7 = 11/7 = (7×1+4)/7 = 1 4/7.
Question 14:
The mixed fraction 5 4/7 can be expressed as
(A) 33/7
(B) 39/7
(C) 33/4
(D) 39/4
Solution: Answer (B)
The mixed fraction 5 4/7 can be expressed as
39/7 = 5 4/7 = (7×5+4)/7 = 39/7
Question 15:
0.07 + 0.008 is equal to
(A) 0.15
(B) 0.015
(C) 0.078
(D) 0.78
Solution: Answer (C)
0.07 + 0.008 is equal to 0.078.
Question 16:
Which of the following decimals is the greatest?
(A) 0.182
(B) 0.0925
(C) 0.29
(D) 0.038
Solution: Answer (C)
0.29 is the greatest decimal among all.
Question 17:
Which of the following decimals is the smallest?
(A) 0.27
(B) 1.5
(C) 0.082
(D) 0.103
Solution: Answer (C)
0.082 is the smallest decimal among all.
Question 18:
13.572 correct to the tenths place is
(A) 10
(B) 13.57
(C) 14.5
(D) 13.6
Solution: Answer (D)
13.572 correct to the tenth place is 13.6.
Question 19:
15.8 – 6.73 is equal to
(A) 8.07
(B) 9.07
(C) 9.13
(D) 9.25
Solution: Answer (B)
15.8 – 6.73 = 9.07
Question 20:
The decimal 0.238 is equal to the fraction
(A) 119/500
(B) 238/25
(C) 119/25
(D) 119/50
Solution: Answer (A)
119/500 = 0.238 after dividing this we get 0.238
In questions 21 to 44, fill in the blanks to make the statements true:
Question 21:
A number representing a part of a _______ is called a fraction.
Solution: A number representing a part of a Whole is called a fraction.
Question 22:
A fraction with denominator greater than the numerator is called a _______ fraction.
Solution: A fraction with denominator greater than the numerator is called a Proper fraction.
Question 23:
Fractions with the same denominator are called ______ fractions.
Solution: Fractions with the same denominator are called like fractions.
Question 24:
13 5/18 is a ______ fraction.
Solution: 13 5/18 is a mixed fraction.
Question 25:
18/5 is an ______ fraction.
Solution: 18/5 is an improper fraction.
Question 26:
7/19 is an ______ fraction.
Solution: 7/19 is an proper fraction.
Question 27:
5/8 and 3/13 are ______ proper fractions.
Solution: 5/8 and 3/13 are like proper fractions.
Question 28:
6/11 and 6/13 are ______ proper fractions.
Solution: 6/11 and 6/13 are unlike proper fractions
Question 29:
The fraction 6/15 in simplest form is ______.
Solution: The fraction 6/15 in simplest form is 2/5.
Question 30:
The fraction 17/34 in simplest form is ______.
Solution: The fraction 17/34 in simplest form is 1/2.
Question 31:
18/135 And 90/675 are proper, unlike and ______ fractions.
Solution: 18/135 And 90/675 are proper, unlike and equivalent fractions.
Question 32:
8 2/7 is equal to the improper fraction ______.
Solution: 8 2/7 is equal to the improper fraction 58/7.
Question 33:
87/7 is equal to the improper fraction ______.
Solution: 87/7 is equal to the improper fraction 12 3/1.
Question 34:
9 + 2/10 + 6/100 is equal to the decimal number ______.
Solution: 9 + 2/10 + 6/100 is equal to the decimal number 9.26.
Question 35:
Decimal 16.25 is equal to the fraction ______.
Solution: Decimal 16.25 is equal to the fraction 16 1/4 OR 65/4.
Question 36:
Fraction 7/25 is equal to the decimal number ______.
Solution: Fraction 7/25 is equal to the decimal number 0.28.
Question 37:
17/9 + 41/9 = ______.
Solution: 17/9 + 41/9 = 58/9
Question 38:
67/14 + 24/14 = ______.
Solution: 67/14 + 24/14 = 43/14
Question 39:
17/2 + 3 1/2 = ______.
Solution: 17/2 + 3 1/2 = 12.
Question 40:
9 1/4 + 5/4 = ______.
Solution: 9 1/4 + 5/4 = 8.
Question 41:
4.55 + 9.73 = ______.
Solution: 4.55 + 9.73 = 14.28.
Question 42:
8.76 – 2.68 = ______.
Solution: 8.76 – 2.68 = 6.08.
Question 43:
The value of 50 coins of 50 paisa = Rs ______.
Solution: The value of 50 coins of 50 paisa = Rs 25.
Question 44:
3 Hundredths + 3 tenths = ______.
Solution: 3 Hundredths + 3 tenths = 0.33.
In each of the questions 45 to 65, state whether the statement is true or false:
Question 45:
Fractions with same numerator are called like fractions.
Solution: The statement is true.
Question 46:
Fraction 18/39 is in its lowest form.
Solution: False, Fraction 18/39 is not in its lowest form.
Question 47:
Fractions 15/39 and 45/117 are equivalent fractions.
Solution: The statement is true.
Question 48:
The sum of two fractions is always a fraction.
Solution: False, the sum of two fraction is may be a fraction not always a fraction.
Question 49:
The result obtained by subtracting a fraction from another fraction is necessarily a fraction.
Solution: False, the result obtained by subtracting a fraction from another fraction it may be a fraction, we can’t say necessarily.
Question 50:
If a whole or an object is divided into a number of equal parts, then each part represents a fraction.
Solution: The statement is true.
Question 51:
The place value of a digit at the tenths place is 10 times the same digit at the ones place.
Solution: False, the place value of a digit at the tenths place is not 10 times the same digit at the ones place.
Question 52:
The place value of a digit at the hundredths place is times the 1/10 same digit at the tenths place.
Solution: The statement is true.
Question 53:
The decimal 3.725 is equal to 3.72 correct to two decimal places.
Solution: False, the decimal 3.725 is not equal to 3.72 correct to two decimal places. It is equal to 3.73.
Question 54:
In the decimal form, fraction 25/8 = 3.125.
Solution: The statement is true.
Question 55:
The decimal 23.2 = 23 2/5.
Solution: False, The decimal 23 2/5 =(23×5+2)/5 = 117/5.
Question 56:
The fraction represented by the shaded portion in the adjoining figure is 3/8.
Solution: The statement is true.
Question 57:
The fraction represented by the unshaded portion in the adjoining figure is 5/9.
Solution: False, the fraction represented by the unshaded portion in the adjoining figure is 5/9.
Question 58:
25/19 + 6/19 = 31/38
Solution: False, 25/19 + 6/19 = 31/19
Question 59:
8/18 + 8/15 = 8/3
Solution: False, 8/18 + 8/15 = (8×15-8×18)/(18×15) = 24/270
Question 60:
7/12 + 11/12 = 3/2
Solution: The statement is true.
Question 61:
3.03 + 0.016 =3.019
Solution: False, 3.03 + 0.016 = 3.046
Question 62:
42.28 – 3.19 = 39.09
Solution: The statement is true.
Question 63:
16/25 > 13/25
Solution: The statement is true.
Question 64:
19.25 < 19.053
Solution: false 19.25 > 19.053 19.25 is greater than 19.053.
Question 65:
13.730 = 13.73
Solution: The statement is true.
In each of the questions 66 to 71, fill in the blanks using ‘>’, ‘<’
Question 66:
11/16 ….. 14/15
Solution: 11/16 < 14/15
Question 67:
8/15 ….. 95/14
Solution: 8/15 < 95/14
Question 68:
12/75 ….. 32/200
Solution: 12/75 = 32/200
Question 69:
3.25 …. 3.4
Solution: 3.25 < 3.4
Question 70:
18/15 ….. 1.3
Solution: 18/15 < 1.3
Question 71:
6.25 …. 25/4
Solution: 6.25 = 25/4
Question 72:
Write the fraction represented by the shaded portion of the adjoining figure:
Solution: 7/8 is the fraction of shaded portion.
Question 73:
Write the fraction represented by the unshaded portion of the adjoining figure:
Solution: 4/15 is the fraction of unshaded portion.
Question 74:
Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person?
Solution: 1/6 part of the cake he gave to each portion.
Question 75:
Arrange 12.142, 12.124, 12.104, 12.401 and 12.214 in ascending order.
Solution: 12.104, 12.122, 12.142, 12.214, 12.401 is in the ascending order.
Question 76:
Write the largest four digit decimal number less than1using the digits 1, 5, 3 and 8 once.
Solution: 0.8531 is the largest four-digit decimal number less than using the digit 1, 5, 3 and 8 once.
Question 77:
Using the digits 2, 4, 5 and 3 once, write the smallest four-digit decimal number.
Solution: 0.2345 is the smallest four-digit decimal number.
Question 78:
Express 11/20 as a decimal.
Solution: 11/20 = 0.55
Question 79:
Express 6 2/3 as an improper fraction.
Solution: 6 2/3 = (3×6+2)/3 = 20/3
Question 80:
Express 3 2/5 as a decimal.
Solution: 3 2/5 = (5×3+2)/5 = 17/5 = 3.4
Question 81:
Express 0.041 as a fraction.
Solution: 41/1000 = 0.041
41/1000 is the fraction form of 0.041
Question 82:
Express 6.03 as a mixed fraction.
Solution: (6×100+3)/100 = 603/100 = 6.03
Question 83:
Convert 5201g to kg.
Solution: 1kg = 1000g
5201g = 5.201kg
Question 84:
Convert 2009 paise to rupees and express the result as a mixed fraction.
Solution: 2009 paise = 20.09 Rs
20 9/100 = (20×100+9)/100
20 9/100 is the mixed fraction.
Question 85:
Convert 1537cm to m and express the result as an improper fraction.
Solution:
100 cm = 1m
1537 cm = 15.37m
1537/100m is on improper fraction.
Question 86:
Convert 2435m to km and express the result as mixed fraction.
Solution:
1000m = 1km
2435m = 2.435 km
2.435 kms mixed fraction of 2.435 km
Question 87:
Arrange the fractions 2/3, 3/4, 1/2 and 5/6 in ascending order.
Solution: 1/2, 2/3, 3/4, 5/6 is in ascending order.
Question 88:
Arrange the fractions 6/7, 7/8, 4/5 and 3/4 in descending order.
Solution: 7/8, 6/7, 3/4, 4/5 is in descending order.
Question 89:
Write 3/4 as a fraction with denominator 44.
Solution: 3/4 = 3×11/4×11 = 33/44
Question 90:
Write 5/6 as a fraction with numerator 60.
Solution: 5/6 = 5×12/6×12 = 60/72
Question 91:
Write 129/8 as a mixed fraction.
Solution: (16×8+1)/8 = 129/8
Question 92:
Round off 20.83 to nearest tenths.
Solution: 20.8 is nearest to tenth by rounding off 20.83.
Question 93:
Round off 75.195 to nearest hundredths.
Solution: 75.20 is nearest to tenth of 27.981.
Question 94:
Round off 27.981 to nearest tenths.
Solution: 28 is nearest tenths of 27.981.
Question 95:
Add the fractions 3/8 and 2/3.
Solution: 3/8 + 2/3 = (3×3+8×2)/8×3 = (9+16)/24 = 25/24.
Question 96:
Add the fractions 3/8 and 6 3/4.
Solution: 3/8 + 6 + 3/4 = 3/8 + 6 + (3×2/4×2) = 3/8 + 6 + 6/8 = 9/8 + 6 = 7 1/8
Question 97:
Subtract 1/6 and 1/2
Solution: 1/6 – 1/2 = (6-2)/(6×2) = 4/12 = 1/3
Question 98:
Subtract 8 1/3 and 100/9.
Solution: 25/3 = (8×3+1)/3 = 8 1/3
100/9 = 25×3/3×3 =(100-75)/9 = 25/9 = 2 7/9
Question 99:
Subtract 1 1/4 and 6 1/2.
Solution: 6 1/2 – 1 1/4 = 13/2 – 5/4 = (26-5)/4 = 21/4 = 5 1/4
Question 100:
Subtract 1 1/4 and 6 1/2.
Solution: 1 1/4 + 6 1/2 = 5/4 + 13/2 = (5+26)/4 = 31/4 7 3/4
Question 101:
Katrina rode her bicycle 6 1/2 km in the morning and 8 3/4 km in the evening. Find the distance travelled by her altogether on that day.
Solution: 6 1/2 km + 8km = 13/2 + 35/4
(26+35)/4 = 61/4 = 15 1/4 km
travelled by her altogether on that day.
Question 102:
A rectangle is divided into certain number of equal parts. If 16 of the parts so formed represent the fraction 1/4, find the number of parts in which the rectangle has been divided.
Solution: 16 parts I = s represented as 1/4 mean the total number of parts in the rectangle has been divided is 64 = 16 × 4.
Question 103:
Grip size of a tennis racquet is 11 9/80 cm. Express the size as an improper fraction.
Solution: 11 9/80 = (111×80+9)/80 = 889/80 cm
Question 104:
On an average 1/10 of the food eaten is turned into organism’s own body and is available for the next level of consumer in a food chain. What fraction of the food eaten is not available for the next level?
Solution: 1/10 is food eaten is turned into organism own body 1 = 1/10 is the whole food.
10/10 – 1/10 = 9/10 is the fraction of the food eaten is not available for the next level.
Question 105:
Mr. Rajan got a job at the age of 24 years and he got retired from the job at the age of 60 years. What fraction of his age till retirement was he in the job?
Solution: LCM 24 and 60 is then 24/60 = 2×12/5×12 = 2/5
5/5 – 2/5 = 3/5 fraction of his ag till retirement was he in the job.
Question 106:
The food we eat remains in the stomach for a maximum of 4 hours. For what fraction of a day, does it remain there?
Solution:
1 day is of 24 hour and the food. we eat remains in the stomach for a maximum of 4 hours.
So that, we write 4/24 = 1/6
Question 107:
What should be added to 25.5 to get 50?
Solution:
25.5 + x = 50
X = 50 – 25.5
X = 24.5
We take x for easy calculation.
Question 108:
Alok purchased 1kg 200g potatoes, 250g dhania, 5kg 300g onion, 500g palak and 2kg 600g tomatoes. Find the total weight of his purchases in kilograms.
Solution:
1.200 Potato
+ 0.250 Dhania
+ 5.300 Onion
+ 0.500 Palak
+ 2.600 Tomato’s
Total weight = 9.850kg total weight
Question 109:
Arrange in ascending order:
0.011, 1.001, 0.101, 0.110
Solution: 0.011, 0.101, 0.110, 1.001 these are arranged in ascending order.
Question 110:
Add the following:
20.02 and 2.002
Solution:
22.022
20.02 + 2.002 = 22.022
Question 111:
It was estimated that because of people switching to Metro trains, about 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes of petrol was saved by the end of year 2007. Find the fraction of:
(i) the quantity of diesel saved to the quantity of petrol saved.
(ii) the quantity of diesel saved to the quantity of CNG saved.
Solution:
(i) 3300 Disel/21000 Petrol
= 11/70
(ii) 3300 Disel/33000 Petrol
= 1/10
Question 112:
Energy content of different foods are as follows:
Which food provides the least energy and which provides the maximum?
Express the least energy as a fraction of the maximum energy
Solution: Rice provides maximum energy milk provides least energy.
Question 113:
A cup is full of milk. What part of the cup is still to be filled by milk to make it full?
Solution:
A cup is 1/3 full of milk. It means 2/3 parts of the cup are still to be filles by milk to make it fill 1 – 1/3 = 2/3.
Question 114:
Mary bought 3 1/2 m of lace. She used 1 3/4 m of lace for her new dress. How much lace is left with her?
Solution: 3 1/3 = 7/2 m of lace and used lace is 7/4
= 7/2 – 7/4 = (28-14)/8 = 14/8 = 7/4 = 1 3/4 m
Question 115:
When Sunita weighed herself on Monday, she found that she had Gained 1 1/4 5kg. Earlier her weight was 46 3/8 kg. What was her weight on Monday?
Solution: Sunita gain weight is 1 1/4 kg and earlier weight is 46 3/8 kg.
= 46 + 1 + 3/8 + 1/4
= 47 + 5/8
= 47 5/8 kg
Question 116:
Sunil purchased 12 1/2 litres of juice on Monday and 14 3/4 litres of juice on Tuesday. How many litres of juice did he purchase together in two days?
Solution: Sunil purchased 12 1/2 litres of juice and 14 3/4 litres of juice on Tuesday and total together is 25/2 + 57/4 = (50+57)/4 = 107/4 = 27 1/4 Litres
Question 117:
Nazima gave 2 3/4 litres out of the 5 1/2 litres of juice she purchased to her friends. How many litres of juice is left with her?
Solution: 5 1/2 = 11/4 litres of juice she purchased.
11/4 she gave to her friends
11/2 – 11/4 = 11/4 = 2 3/4
Question 118:
Roma gave a wooden board of length 1501/4 cm to a carpenter for making a shelf. The Carpenter sawed off a piece of 40 1/5 cm from it. What is the length of the remaining piece?
Solution: (150 1/4 cm Roma gave to a carpenter) – (40 1/5 cm Carpenter sawed off a piece) = 110 1/20 cm length of the remaining piece.
Question 119:
Nasir travelled 3 1/2km in a bus and then walked 1 1/8 km to reach a town. How much did he travel to reach the town?
Solution: Nasir travelled 3 1/2 km in a bus = 7/2 km and then walked 1 1/8 km = 9/8 to reach a town.
= 7/2 + 9/8 = (28+9)/8 = 37/8 = 4 5/8 km
Question 120:
The fish caught by Neetu was of weight 2 3/4 kg and the fish caught by Narendra was of weight 2 1/2 kg. How much more did Neetu’s fish weigh than that of Narendra?
Solution: The fish caught by Neetu was of weight 2 3/4 kg = 15/4 kg and the fish caught by Narendra was of weight 2 1/2 kg = 5/2 kg
= 15/4 – 5/2 = (15-10)/2 = 5/2 kg more fish weight than that of Narendra.
Question 121:
Neelam’s father needs 1 1/4m of cloth for the skirt of Neelam’s new dress and 1/2m for the scarf. How much cloth must he buy in all?
Solution: All cloth buys her father for hers
= 1 3/4 m + 1/2 m
= 7/4 + 1/2 m
= 7/4 + 1/2 = 9/4 = 2 1/4
Question 122:
What is wrong in the following additions?
Solution:
In Qua (a) equal denominator should have been added.
In Qua (b) equal numerator and denominator have been added.
Question 123:
Which one is greater?
1 metre 40 centimetres + 60 centimetres or 2.6 metres.
Solution: 1 metre 40 centimetres + 60 centimetres /2 meters 2.6 meters is greater than 2 meters
Question 124:
Match the fractions of Column I with the shaded or marked portion of figures of Column II:
Solution:
(i) = (D)
(ii) = (E)
(iii) = (A)
(vi) = (B)
Question 125:
Find the fraction that represents the number of natural numbers to total numbers in the collection 0, 1, 2, 3, 4, 5. What fraction will it be for whole numbers?
Solution: = 5/6 is the fraction of natural number to total number.
= 6/6 is the fraction of whole number to total number.
Question 126:
Write the fraction representing the total number of natural numbers in the collection of numbers –3, – 2, –1, 0, 1, 2, 3. What fraction will it be for whole numbers? What fraction will it be for integers?
Solution:
= 3/(7) is the fraction of natural number to total number.
= 4/7 is the fraction of whole number to total number.
=7/7 is the fraction of integer number to total number.
Question 127:
Write a pair of fractions whose sum is 7/11 and difference is 2/11.
Solution: If we add 9/22 + 5/22 = 14/22 = 7/11 And difference 9/22 – 5/22 = 4/22 = 2/11
Question 128:
What fraction of a straight angle is a right angle?
Solution: 1/2 s the fraction of a straight angle is right angle. Put the right card in the right bag.
(i) Bag I, 3/7 = 0.428 Fraction less than 1.
(ii) Bag II, 4/4 = 1 Fraction equal to 1.
(iii) Bag III, 9/8 = 1.125 Fraction greater than 1.
(iv) Bag I, 8/9 = 0.88 Fraction less than 1.
(v) Bag I, 5/6 = 0.833 Fraction less than 1.
(vi) Bag I, 6/11 = 0.5454 Fraction less than 1.
(vii) Bag II, 18/18 = 1 Fraction equal to 1.
(viii) Bag I, 19/25 = 0.76 Fraction less than 1.
(ix) Bag I, 2/3 = 0.66 Fraction less than 1.
(x) Bag I, 13/17 = 0.764 Fraction less than 1.
Thank You all the Students and Guardians who are always like our this page NCERT Exemplar Class 6 Maths Fractions and Decimals Solution. For any doubts comment us below.