Edudel, Directorate of Education Govt. of NCT of Delhi Class 6 Mental Maths Question Bank Chapter 7 Fractions Questions Solution. In this chapter, there is total 50 math problems. We have given each questions solution step by step.
1.) Find the fraction representing the shaded portion.
Answer:
2.) From the given number line, find the fraction that point ‘A’ denotes.
Answer: the fraction that point ‘A’ denotes= 3/5
3.) What fraction of 1 hour is 45 minutes?
Answer: 45 minutes is 3/4 of 1 hour
4.) Find the fraction representing the shaded portion.
Answer: the fraction representing the shaded portion = 4/7
Total box = 7
Shaded box = 4
5.) Express 12 ⅔ as improper fraction.
Answer:
12 + (2/3)
= (12×3 + 2×1) / 3
= (36 + 2) / 3
= 38 / 3
6.) Express123/12 as mixed fraction.
Answer: Mixed number written as
Quotient ( Reminder/ Divisor)
Dividing 123 by 12 , we get quotient as 10 , Reminder as 3 and Divisor as 12
Mixed fraction of 123/12 = 10 ³/12
Mixed fraction of 123/12 = 10¼
7.) Reduce 85/119 the simplest form.
Find the fraction for the following: (Q.8 to Q.12)
Answer:
85/119 =5/7
As 17 ×5 = 85 , 17 ×7= 119
8.) Seven oranges of two dozen oranges.
Answer: 1 dozen = 12
Seven oranges of two dozen oranges = 7 /(2×12)
= 7/ 24
9.) 27 seconds of a minute.
Answer:
60 seconds = 1 minute
27 seconds = 27/ 60
27 seconds = 9/20
10.) Three months of a year.
Answer: Three months of a year = 3/12
Three months of a year = 1/4
11.) 80 paise of Rs 2.
Answer:
Rs 1 = 100 paisa
Rs 2 = 200 paisa
80 paise of Rs 2. = 80/ 200
= 2/5
12.) 200 m of a kilometre.
Answer: 1 km = 1000 m
200 m of a kilometre = 200/1000
200 m of a kilometre.= 1/5
Find the sum of: (Q.13 to Q.16)
13.) 2/3 And3/4
Answer: 2/3 + (3/4)
= ((4×2) + (3×3))/ (3×4)
= (8+9)/ 12
= 17/12
In mixed number 17/12 is shown as dividing 17by 12 , we get quotient as 1 and reminder as 5
Mixed fraction written as
Quotient ( Reminder/ Divisor)
Mixed fraction of ⅔ And ¾ = 1(5/2)
14.) 7/10 and 3/15
Answer:
7/10 + 3/5
= (515×7) + (10×3))/ (10×15)
= ( 105 + 30 ) / 150
= 135 /150
= 9/ 10
15.)
17.) Answer : -2/9 < 1/9 < 2/9 <3/9 < 5/9 < 7/9
18.) Answer: 1/4
19.) The sum of 5/11 + 0/11 + 6/11
Answer: As denominator of all Fractions is same
We can write it as
Sum of 5/11 + 0/11 + 6/11 = (5 + 0 + 6)/ 11
= 11/11
=1
sum of 5/11 + 0/11 + 6/11 = 1
20.) Let be number be A
2/3 of A = 12
(A x 2) / 3 = 12
A x 2 = 12 ×3
A = 36 /2
A = 18
The number is 18
30.) Side of Square paper sheet = 10 ¾ cm
= 43/4
Perimeter of Square = 4 × sides of Square
Perimeter of Square = 4 × 43/4
Perimeter of Square = 43 cm
31.) Natural number from 2 to 10 = 2,3,4,5,6,7,8,9,10
Total count of natural number = 9
Prime number from 2 to 10 = 2, 3, 5, 7
Total count of prime number = 4
Fraction = 4/9
33.)
39 /52 = x / 4
X = (39 × 4) / 52
x = 156/ 52
x = 3
42.)
Rajesh was given oranges from a basket = 3/5
Fraction of oranges left in the basket = 1 – 3/5
Fraction of oranges left in the basket = (5 -3)/ 5
Fraction of oranges left in the basket = 2/5
43.) Ribbon bought by savita in m = 2/5 m
Ribbon bought by Kavita in m = 3/4 m
The total length of ribbon they bought = 2/5 + 3/4
The total length of ribbon they bought = 23/20
Mixed fraction of 23/20 = 1 ³/20
44.)
A piece of wire in length = 3/4 m
Wire broke into two piece
One piece of wire in length = 1/2 m
Length of other piece of wire = (3/4) – (1/2)
Length of other piece of wire = 1/4 m
45.)
Girl students in class = 3/5
Girl students absent in class = 1/5
Girl students Present in class = (3/5) – (1/5)
Girl students Present in class = 2/5
48.)
Kanak’s house from his school = 8/10 km
Kanak walked with Rubi = 1/2 km
Distance Kanak walked alone = Kanak’s house from his school – Kanak walked with Rubi
Distance Kanak walked alone in fraction = (8/10) – (1/2)
Distance Kanak walked alone in fraction = (16-10) / 20
Distance Kanak walked alone in fraction = 6 / 20
Distance Kanak walked alone in fraction = 3/10 km
50.) There are 24 boys and 33 girls in a class.
Total No. of students in class = 24 +33 = 57
(a) The fraction representing boys among the total students
= No. of boys in a class / Total No. of students in a class
= 24 /57
The fraction representing boys among the total students = 8/19
(b) The fraction representing girls among the total students
= No. of girls in a class / Total No. of students in a class
=33/57
The fraction representing girls among the total students = 11/ 19
Others Chapter Solution:
Chapter 5 |
Understanding Elementary Shapes |
Chapter 6 |