# Maharashtra Board Class 5 Math Chapter 5 Fractions Solution

## Maharashtra Board Class 5 Math Solution Chapter 5 – Fractions

Balbharati Maharashtra Board Class 5 Math Solution Chapter 5: Fractions. Marathi or English Medium Students of Class 5 get here Fractions full Exercise Solution.

 Std Maharashtra Class 5 Subject Math Solution Chapter Fractions

1.) Write the proper number in the box.

(1) 1/2  =  10 /20

When the numerator and denominator of a fraction are multiplied by the same non-zero number, we get a fraction that is equivalent to the given fraction.

We must find the right number for the box.

Here, if we multiply numerator 1 with 2, we get the denominator (1× 2) = 2

So, the half of the denominator 20 will be the numerator  (numerator × 2 = denominator)

Dividing 20 by 2, (20 2) = 10.

So the numerator will be 10.

Hence, the fraction 10/20 with numerator 10 is equivalent to ½

(2) ¾ = 15/ 20

We must find the right number for the box.

Here, 5 times the numerator 3 is (3 ×  5) = 15.

Hence  five times the numerator 4 will be the denominator,

So,  5 × 4 = 20

The denominator will be 20

Hence the fraction 15/20 with denominator 20 is equivalent to ¾.

(3) 9/11 = 18/ 22

Hence  2 times the numerator 9 is 18,

So, the 2 times denominator of 11 is (2 11) = 22

Hence, the fraction 18/22 with denominator 22 is equivalent to 9/11.

(4) 10/40 =  ? /8

If the numerator and denominator have a common divisor then the fraction we get on dividing them by that divisor is equivalent to the given fraction.

We must find the number for the box.

40 divided by 5 is 8.

So, we will get the number for the box by dividing 10 by 5. 10 ÷ 5 = 2.

Therefore,

10/40 = 2/8

Thus, the fraction 2/8 is equivalent to the fraction 10/40.

(5) 14/26 = ?/13

26 divided by 2 is 13.

So dividing 14 by 2 will give us the numerator,

(14 ÷ 2) = 7

Therefore, 14/26 = 7/13

(6) ?/3 = 4/6

2 times the denominator 3 is 6.

So, dividing 4 by 2 will give us the numerator,

(4÷2) = 2

Therefore, 2/3 = 4/6.

(7) 1/? = 4/20

4 times the numerator 1 is 4.

So, dividing 20 by 4 will give us the numerator,

(20÷4) = 5

Therefore, 1/5 = 4/20.

(8) ?/5 = 10/25

5 times the denominator 5 is 25.

So, dividing 10 by 5 will give us the numerator,

(10÷5) = 2

Therefore, 2/5 = 10/25

2.) Find an equivalent fraction with denominator 18, for each of the following fractions.

When the numerator and denominator of a fraction are multiplied by the same non-zero number, we get a fraction that is equivalent to the given fraction.

In ½ fraction,

9 times the denominator 2 is 18,

So, the 9 times numerator of 1 is (9× 1) = 9

Therefore ½ =9/18

In fraction 2/3,

6 times the denominator 3 is 18,

So, the 6 times numerator of 2 is (6×2) = 12

Therefore ½ =12/18

In fraction 4/6,

3 times the denominator 6 is 18,

So, the 3 times numerator of 4 is (3×4) = 12

Therefore ½ =12/18

In fraction 2/9,

2 times the denominator 9 is 18,

So, the 2 times numerator of 2 is (2×2) = 4

Therefore ½ =4/18

In fraction 7/9,

7/9 =14/18

In fraction 5/3,

5/3= 30/18

3.) Find an equivalent fraction with denominator 5, for each of the following fractions.

If the numerator and denominator have a common divisor then the fraction we get on dividing them by that divisor is equivalent to the given fraction.

In fraction 6/15,

15 divided by 3 is 5.

So, we will get the numerator of equivalent fraction by dividing 6 by 3. (6 ÷ 3) = 2.

Therefore 6/15= 2/5

In fraction 10/25,

25 divided by 5 is 5.

So, we will get the numerator of equivalent fraction by dividing 10 by 5. (10 ÷ 5) = 2.

Therefore 10/25= 2/5

In fraction 12/30,

30 divided by 6 is 5.

So, we will get the numerator of equivalent fraction by dividing 12 by 6. (12 ÷ 6) = 2.

Therefore 12/30= 2/5

In fraction 6/10, the equivalent fraction is 3/5

In fraction 21/35, the equivalent fraction is 3/5

4.) From the fractions given below, pair off the equivalent fractions.

2/3 = 18/27

the numerator and denominator of a fraction are multiplied by the same non-zero number, which is 9. (9×2) = 18/(9×3) = 27

5/7 = 10/14

the numerator and denominator of a fraction are multiplied by the same non-zero number, which is 2. (5×2) = 10/(2×7) = 14

5/11  = 15/33

the numerator and denominator of a fraction are multiplied by the same non-zero number, which is 3. (3×5) = 15/(3×11) = 33

7/9 = 14/18

the numerator and denominator of a fraction are multiplied by the same non-zero number, which is 2. (7×2) = 14/(9×2) = 18

5.) Find two equivalent fractions for of the following fractions.

7/9 = 14/18 (multiplying with both numerator and denominator with 2)

= 21/27 (multiplying with both numerator and denominator with 3)

4/5 = 8/10, 12/15

3/11 = 6/22, 18/66

### PROBLEM SET 18

Convert the given fractions into like fractions.

Note: Like Fraction means same denominator.

(1) ¾, 5/8

Here, we must find a common multiple for the numbers 4 and 8.

Multiples of  4: 4,8,12,16,20

Multiples of  8 : 8,16, 24,32,40

Here, the number 8 is a multiple of both 4 and 8.So, let us make 8 the denominator of both fractions.

3×2/4×2 = 6/8                5×1/8×1 = 5/8

Thus, 6/8 and 7/8 are like fractions, respectively equivalent to ¾ and 5/8

(2) 3/5 , 3/7

Here, we must find a common multiple for the numbers 5 and 7 .

Multiples of 5 : 5,10,15,20,25,30,35

Multiples of 7 : 7,14,21,28,35

Here, the number 35 is a multiple of both 5 and 7 .So, let us make 35 the denominator of both fractions.

3×7/5×7 = 21/35                   3×5/7×5= 15/35

Thus, 21/35 and 15/35 are like fractions, respectively equivalent to 3/5 and 3/7.

(3) 4/5 , 3/10

Here, we must find a common multiple for the numbers 5 and 10 .

Multiples of 5 : 5,10

Multiples of 10 : 10,20

Here, the number 10 is a multiple of both 5 and 10 .So, let us make 10 the denominator of both fractions.

4×2/5×2 = 8/10                   3×1/10×1=3/10

Thus, 8/10 and 3/10 are like fractions, respectively equivalent to 4/5 and 3/10

(4) 2/9 , 1/6

The number 18 is a multiple of both 9 and 6 . So, make 18  the common denominator.

2×2/9×2 = 4/18                   1×3/6×3 = 3/18

Therefore, 4/18  and  3/18 are required like fractions

(5) ¼,2/3

The number 12 is a multiple of both 4 and 3. So, make 12 the common denominator.

1×3/4×3 = 3/12                   2×4/3×4=8/12

Therefore, 3/12  and 8/12 are required like fractions

(6) 5/6 , 4/5

The number 30 is a multiple of both 6 and 5. So, make  30 the common denominator.

5×5/6×5 = 25/30                   4×6/5×6=24/30

Therefore, 25/30  and 24/30 are required like fractions

(7) 3/8 = 1/6

The number 24 is a multiple of both 8 and 6. So, make 24 the common denominator.

3×3/8×3 = 9/24                   1×4/6×4=4/24

Therefore,  9/24 and 4/24 are required like fractions

(8) 1/6, 4/9

The number 18 is a multiple of both 6 and 9. So, make 18 the common denominator.

1×3/6×3 = 3/18                   4×2/9×2=8/18

Therefore, 3/18 and 8/18 are required like fractions

### PROBLEM SET 19

(1) 3/7 = 3/7

As both fraction has same numerator and denominator.

(2) 3/8 > 2/8

Both have the same denominator 8.

In like fractions, the fraction with the greater numerator is the greater fraction.

(3) 2/11 < 10/11

Both have the me denominator 11.

In like fractions, the fraction with the greater numerator is the greater fraction.

(4) 5/15 = 10/30

As 30 is twice 15, it is easy to make 30 the common denominator.

5×2/15×2 = 10/30

both fraction has same numerator and denominator.

(5) 5/8 > 5/9

(8×9) = 72 can be divided by both 8 and 9. So, 72 can be the common denominator.

5×9/8×9 = 45/72        5×8/9×8 = 40/72

45/72 > 40/72 so 5/8 >5/9

(6) 4/7 > 4/11

(7×11) = 77 can be divided by both 7 and 11. So, 77 can be the common denominator.

4×11/7×11 = 44/77        4×7/11×7 = 28/77

44/77 > 28/77 so 4/7> 4/11

(7) 10/11 > 10/13

(11×13) = 143.can be divided by both 11and 13. So, 143 can be the common denominator.

10×13/11×13 = 130/143       10×11/13×11 = 110/143

130/143 > 110/143  so  10/11 > 10/13

(8) 1/5  > 1/9 (common denominator 5×9 = 45)

(9) 5/6  > 1/8 (common denominator 6×8 = 48)

(10) 5/12 > 1/6 (common denominator 6×2 = 12)

(11) 7/8 = 14/16 (common numerator and denominator)

(12) 4/9 = 4/9 (common numerator and denominator)

(13) 5/18 > 1/9 (common denominator 9×2 = 18)

(14) 2/3 > 4/7 (common denominator 3×7 = 21)

(15) 3/7 < 5/9 (common denominator 7×9 = 63)

(16) 4/11 < 1/5 (common denominator 5×11 = 55)

### PROBLEM SET 20

(1) 1/5+3/5

When adding like fractions, we add the numerators of the two fractions and write the denominator as it is.

So, 1/5+3/5 = 1+3/5 = 4/5

(2) 2/7+4/7

When adding like fractions, we add the numerators of the two fractions and write the denominator as it is.

So, 2/7+4/7 = 2+4/7 = 6/7

(3) 7/12+2/12

When adding like fractions, we add the numerators of the two fractions and write the denominator as it is.

So, 7/12+2/12 = 7+2/12 = 9/12

They have a common divisor, which is 3.

So we can also write it as, 9÷3/12÷3 = ¾

(4) 2/9+7/9

When adding like fractions, we add the numerators of the two fractions and write the denominator as it is.

So, 2/9+7/9 = 2+7/9 =9/9

If the numerator and denominator of a fraction are equal, the fraction is equal to one.

Therefore,  9/9 = 1

(5) 3/15+4/15 = 3+4/15 = 7/15

(6) 2/7+1/7+3/7 = 2+1+3/7 = 6/7

(7) 2/10+4/10+3/10 = 2+4+3/10 =9/10

(8) 4/9+1/9 = 4+1/9 = 5/9

(9) 5/8+3/8 = 5+3/8 = 8/8

If the numerator and denominator of a fraction are equal, the fraction is equal to one.

Therefore, 8/8 = 1

2.) Mother gave 3/8 of one guava to Meena and 2/8 of the guava to Geeta. What part of the guava did she give them altogether ?

Mother gave Meena 3/8 of one guava

Mother gave Geeta got 2/8 of one guava

So total part she gave them = 3/8+2/8 = 3+2/8 = 5/8

Answer = 5/8 part of the guava she gave them altogether.

3.) The girls of Std V cleaned 3/4 of a field while the boys cleaned 1/4 . What part of the field was cleaned altogether ?

Girls cleaned ¾ parts of field

Boys cleaned ¼ parts of field

Total part of field was cleaned = ¾ + ¼ = 3+1/4 = 4/4

the numerator and denominator of a fraction are equal, the fraction is equal to one.

Therefore, 4/4 = 1

Answer =  total field was cleaned.

### PROBLEM SET 21

1.) Subtract :

(1) 5/7 – 1/7

These two fractions have a common denominator. So, we shall subtract the second numerator from the first and write the denominator as it is.

5/7 – 1/7 = 5 – 1/7 = 4/7

(2) 5/8 – 3/8

These two fractions have a common denominator. So, we shall subtract the second numerator from the first and write the denominator as it is.

5/8 – 3/8 = 5 – 3/8 = 2/8

(3) 7/9 – 2/9

These two fractions have a common denominator. So, we shall subtract the second numerator from the first and write the denominator as it is.

7/9 – 2/9 = 7 – 2/9 = 5/9

(4) 8/11 – 5/11

These two fractions have a common denominator. So, we shall subtract the second numerator from the first and write the denominator as it is.

8/11 – 5/11 = 8 – 5/11 = 3/11

(5) 9/13 – 4/13 = 9 – 4/13 = 5/13

(6) 7/10 – 3/10 = 7 – 3/10 = 4/10

(7) 9/12 – 2/12 = 9 – 2/12 = 7/12

(8) 10/15 – 3/15 = 10 – 3/15 = 7/15

2.) 7/10 of a wall is to be painted. Ramu has painted 4/10 of it.How much more needs to be painted ?

Total part of wall to be painted = 7/10

Ramu painted = 4/10

To find the part is to be painted, we must subtract

7/10 – 4/10 = 7 – 4/10 = 3/10

Answer = 3/10 part is to be painted.

### PROBLEM SET 22

(1) 1/8+3/4

Here, 8 is twice 4. So, we shall change.  So, the denominator of both fractions to 4.

1×1/8×1 + 3×2/4×2 = 1/8 + 6/8 = 1+6/8 = 7/8

(2) 2/21+3/7

Here, 21 is 3 times of 7, (7×3) = 21

So we shall change the denominator of first fraction to 21 to make them equivalent fraction,

2×1/21×1 + 3×3/7×3 = 2/21+9/21 = 2+9/21 = 11/21

(3) 2/5+1/3

Here, the smallest common multiple of the two denominators is 15. So, we shall change the denominator of both fraction to 15.

2×3/5×3 +1×5/3×5 = 6/15+5/15 = 6+5/15 =11/15

(4) 2/7+1/2 = 2×2/7×2 + 1×7/2×7 = 4/14 + 7/14 = 11/14

(5) 3/9+3/5 = 3×5/9×5 + 3×9/5×9 =15/45 + 27/45 = 15+27/45 = 42/45

2.) Subtract

(1) 3/10 – 1/20

Here, 20 is twice 10. So, we shall change.  So, the denominator of both fractions to 20.

3×2/10×2 – 1/20 = 6/20 – 1/20 = 6 – 1/20 = 5/20

(2) ¾ – ½

Here, 4 is twice 2. So, we shall change.  So, the denominator of both fractions to 4.

¾ – 1×2/2×2 = ¾ – 2/4 = 3 – 2/4 = ¼

(3) 6/14 – 2/7

Here, 14 is twice 7. So, we shall change.  So, the denominator of both fractions to 14.

6/14 – 2×2/7×2 = 6/14 – 4/14 = 2/14

(4) 4/6 – 3/5

4×5/6×5 – 3×6/5×6 = 20/30 – 18/30 = 20 – 18/30 = 2/30

(5) 2/7 – ¼

2×4/7×4 – 1×7/4×7 = 8/28 – 7/28 = 8 – 7/28 = 1/28

### PROBLEM SET 23

1.) What is 1/3 of each of the collections given below?

(1) 1/3 times 15 pencil is = 1/3×15 = 5 pencil

First we divide the 15 with the denominator 3,(15÷3) = 5

Then we multiply the quotient 5 with numerator 1, (5×1) = 5

(2) 1/3 times of 21 balloon is = 1/3 ×21 = 7

First we divide 21 with the denominator 3, (21÷3) = 7

Then we multiply the quotient 7 with numerator 1, (7×1) = 7

(3) 1/3 times of 9 children is = 1/3×9 = 3 children.

(4) 1/3 times of 18 books is = 1/3×18 = 6 books.

1. What is 1/5 of each of the following?

(1) 1/5 times of 20 rupees is = 1/5×20 = 4

First we divide the 20 with the denominator 5,(20÷5) = 4

Then we multiply the quotient 4with numerator 1, (4×1) = 4

(2) 1/5 times of 30 km is = 1/5×30 = 6 km

First we divide the 30 with the denominator 5,(30÷5) = 6

Then we multiply the quotient 6 with numerator 1, (6×1) = 6

(3) 1/5 times of 15 litres is = 1/5×15 = 3 litres

(4) 1/5 times of 25 cm is = 1/5×25 = 5 cm

1. Find the part of each of the following numbers equal to the given fraction.

(1) 2/3 of 30 is = 2/3×30 = 20

First we divide the 30 with the denominator 3,(30÷3) = 10

Then we multiply the quotient 10 with numerator 2, (10×2) = 20

(2) 7/11 of 22 is = 7/11×22 = 14

First we divide the 22 with the denominator 11,(22÷11) = 2

Then we multiply the quotient 2 with numerator 7, (7×2) = 14

(3) 3/8 of 64 is = 3/8×64 = 24

First we divide the 64 with the denominator 8,(64÷8) = 8

Then we multiply the quotient 8 with numerator 3, (8×3) = 24

(4) 5/13 of 65 is = 25

#### For More Solutions, Click Below:

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Updated: January 7, 2022 — 4:28 pm