Balbharati Solutions Class 5 Mathematics Fractions

Balbharati Solutions Class 5 Mathematics Fractions

Welcome to NCTB Solutions. Here with this post we are going to help 5th class students for the Solutions of Balbharati Class 5 Math Book, Problem Set 17, 18, 19, 20, 21, 22 and 23, Fractions. Here students can easily find step by step solutions of all the problems for Fractions. Also our Expert Mathematic Teacher’s solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get Fractions solutions. Here all the solutions are based on Maharashtra State Board latest syllabus.

Fractions all Question Solutions :

Problem Set 17 : 

Question no – (1) 

Solution : 

(1) 1/2 = __/20

Here the number 20 = 2×10

So, we multiply numerator 1 and denominator 2 by 10

1/2 = 1×10/2×10 = 10/20

∴ 1/2 = 10/20

(2) 3/4 = 15/__

Here the number 15 = 3×5

So, we multiply numerator 3 and denominator 4 by 5

3/4 = 3×5/4×5 = 15/20

∴ 3/4 = 15/20

(3) 9/11 = 18/__

Here the number 18 = 2×9

So we multiply numerator 9 and denominator 11 by 2

9/11 = 9×2/11×2 = 18/22

∴ 9/11 = 18/22

(4) 10/40 = __/8

If we divide 40 by 5 the answer is 8

So, we divide numerator 10 and denominator 40 by 5

10/4 = 10÷5/40÷5 = 2/8

∴ 10/40 = 2/8

(5) 14/26 = __/13

If we divide 26 by 2 the answer is 13

So, we divide numerator 14 and denominator 26 by 2

14/26 = 14÷2/26÷2 = 7/13

∴ 14/26 = 7/13

(6) __/3 = 4/6

If we divide 6 by 2 the answer is 3

So, we divide numerator 4 and denominator 6 by 2

4/6 = 4÷2/6÷2 = 2/3

∴ 2/3 = 4/6

(7) 1/__ = 4/20

If we divide 4 by 4 the answer is 1

So, we divide numerator 4 and denominator 20 by 4.

4/20 = 4÷4/20÷4 = 1/5

∴ 1/5 = 4/20

(8) __/5 = 10/25

If we divide 25 by 5 the answer is 5

So, we divide numerator 10 and denominator 25 by 5

10/25 = 10÷5/25÷5 = 2/5

∴ 2/5 = 10/25

Question no – (2) 

Solution : 

•  1/2

For equivalent fraction with denominator 18.

We multiply numerator 1 and denominator 2 by 9

1/2 = 1×9/2×9 = 9/18

∴ 1/2 = 9/18

•  2/3

For equivalent fraction with denominator 18

We multiply numerator 2 and denominator 3 by 6

2/3 = 2×6/3×6 = 12/18

∴ 2/3 = 12/18

•  4/6

For equivalent fraction with denominator 18

We multiply numerator 4 and denominator 6 by 3

4/6 = 4×3/6×3 = 12/18

∴ 4/6 = 12/18

•  2/9

For equivalent fraction with denominator 18

We multiply numerator 2 and denominator 9 by 2

2/9 = 2×2/9×2 = 4/18

∴ 2/9 = 4/18

•  7/9

For equivalent fraction with denominator 18

We multiply numerator 7 and denominator 9 by 2

7/9 = 7×2/9×2 = 14/18

∴ 7/9 = 14/18

•  5/3

For equivalent fraction with denominator 18.

We multiply numerator 5 and denominator 3 by 6

5/3 = 5×6/3×6 = 30/18

∴ 5/3 = 30/18

Question no – (3) 

Solution : 

•  2/3

If we multiply numerator 2 and denominator 3 by 9

2/3 = 2 × 9/3 × 9 = 18/27

For 2/3 equivalent fraction is 18/27

∴ 2/3 = 18/27

•  5/7

If we multiply numerator 5 and denominator 7 by 2

5/7 = 5 × 2/7 × 2 = 10/14

For 5/7, equivalent fraction is 10/14

∴ 5/7 = 10/14

•  5/11

If we multiply numerator 5 and denominator 11 by 3

5/11 = 5 × 3/11 × 3 = 15/33

For 5/11 equivalent fraction is 15/33

∴ 5/11 = 15/33

•  7/9

If we multiply numerator 7 and denominator 9 by 2

7/9 = 7 × 2/9 × 2 = 14/18

For 7/9 equivalent fraction 14/18

7/9 = 14/18

Question no – (4) 

Solution : 

•  6/15

For equivalent fraction with denominator 5

We divide numerator 6 and denominator 15 by 3

6/15 = 6 ÷ 3/15 ÷ 3 = 2/5

∴ 6/15 = 2/5

•  10/25

For equivalent fraction with denominator 5

We divide numerator 10 and denominator 25 by 5

10/25 = 10 ÷ 5/25 ÷ 5 = 2/5

12/25 = 2/5

•  12/30

For equivalent fraction with denominator 5

We divide numerator 12 and denominator 30 by 6

12/30 = 12 ÷ 6/30 ÷ 6 = 2/5

12/30 = 2/5

•  6/10

For equivalent fraction with denominator 5

We divide numerator 6 and denominator 10 by 2

6/10 = 6 ÷ 2/10 ÷ 2 = 3/5

∴ 6/10 = 3/5

•  21/35

For equivalent fraction with denominator 5

We divide numerator 21 and denominator 25 by 7

21/35 = 21 ÷ 7/35 ÷ 7 = 3/5

∴ 21/35 = 3/5

Question no – (5) 

Solution : 

•  7/9

Here we multiply numerator 7 and denominator 9 by 3

7/9 = 7×3/9×3 = 21/27

The 1st equivalent fraction of 7/9 is 21/27

Also we multiply numerator 7 and denominator by 5

•  7/9

= 7×5/9×5

= 35/45

The 2nd equivalent fraction of 7/9 is 35/45

∴ Two equivalent fraction of 7/9 is 21/27 and 35/45

•  4/5

Here we multiply numerator 4 and denominator 5 by 2

4/6 = 4×2/5×2 = 8/10

The 1st equivalent fraction o 4/5 is 8/10

Also, we multiply numerator 4 and denominator 1/5 by 4

•  4/5

= 4×4/5×4

= 16/20

∴ So, equivalent fraction of 4/5 is 8/10, 16/20

•  3/11

Here we multiply numerator 3 and denominator 11 by 3

3/11 = 3×3/11×3 = 9/3

The 1st equivalent fraction of 3/11 is 9/33

Also, we multiply numerator 3 and denominator 11 by 2

•  3/11

= 3×2/11×2

= 6/22

∴ Two equivalent fraction of 3/11 is 9/33, 6/22.

Problem Set 18 : 

Question no – (1) 

Solution : 

(1) 3/4, 5/8

For common denominator we multiply numerator 3 and denominator 4 by 2

3/4 = 3×2/4×2 = 6/8

So, 5/8 and 6/8 are like fraction

(3) 4/5, 3/10

For common denominator we multiply numerator 4 and denominator 5 by 2

4/5 = 4×2/5×2 = 8/10

So, 3/10 and 8/10 are like fraction.

(4) 2/9, 1/6

For common denominator we multiply numerator 2 and denominator 9 by 6

2/9 = 2×6/9×6 = 12/54

Also, we multiply numerator 1 and denominator 6 by 9

1/6 = 1×9/6×9 = 9/54

So, 12/54 and 9/54 are like fraction.

(5) 1/4, 2/3

For common denominator we multiply numerator 1 and denominator 4 by 3

1/4 = 1×3/4×3 = 3/12

Also, we multiply numerator 2 and denominator 3 by 4

2/3 = 2×4/3×4

= 8/12

So, 3/12 and 8/12 are like fraction.

(6) 5/6, 4/5

For common denominator we multiply numerator 5 and denominator 6 by 5

5/6 = 5×5/6×5 = 25/30

Also, we multiply numerator 4 and denominator 5 by 6

4/6 = 4×6/5×6

= 24/30

So, 25/30 and 24/30 are like fraction.

(7) 3/8, 1/6

For common denominator we multiply numerator 3 and denominator 8 by 6

3/8 = 3×6/8×6 = 18/48

Also, we multiply numerator 1 and denominator 6 by 8

1/6 = 1×8/6×8

= 8/48

So, 18/48 and 8/48 are like fraction

(8) 1/6, 4/9

For common denominator we multiply numerator 1 and denominator 6 by 9

1/6 = 1×9/6×9 = 9/54

Also, we multiply numerator 4 and denominator 9 b 6

4/6 = 4×6/9×6

= 24/54

So, 9/5 and 24/54 are like fraction

Problem Set 19 : 

Question no – (1) 

Solution : 

(1) 3/7 __ 3/7

Here both the fraction are same so,

3/4 = 3/7

(2) 3/8 __ 2/8

Here the denominator is same and numerator 3 is greater than numerator 2

So, 3/8 > 2/8

(3) 2/11 __ 10/11

Here the denominator is same and numerator 10 is greater than numerator 2

So, the answer is 2/10 40/72

(6) 4/7 __ 4/11

For common denominator we multiply numerator 4 and denominator 7 by 1

4/7 = 4×11/7×11 = 44/77

Also, we multiply numerator 4 and denominator 11 by 7

4/11 = 4×7/11×7 = 28/77

So the fraction are 44/77 28/77

Denominator is same and numerator 44 is greater than numerator 28 so the answer is 44/77 > 28/77

(7) 10/11 __ 10/13

For common denominator we multiply numerator 10 and denominator 11 by 13

10/11 = 10×13/13×11 = 130/143

Also, w multiply numerator 10 and denominator 13 by 11

10/13 = 10×11/13×11 = 110/143

So, the fraction are 130/143 = 110/143

Denominator is same and numerator 130 is greater the numerator 110

So, the answer is 130/143 > 110/143

(8) 1/5 __ 1/9

For common denominator we multiply numerator 1 and denominator 5 by 9

1/5 = 1×9/5×9 = 9/45

Also, we multiply numerator 1 and denominator 9 by 5

1/9 = 1×5/9×5 = 5/45

So the fraction is 9/45 5/45

Denominator is same and numerator 9 is greater than numerator 5 so the answer is 9/45 > 5/45

(9) 5/6 __ 1/8

For common denominator we multiply numerator 5 and denominator 6 by 8

5/6 = 5×8/6×7 = 40/48

Also, we multiply numerator 1 and denominator 8 by 6

1/8 = 1×6/8×6 = 6/48

So the fraction is 40/48 6/48

Denominator is same and numerator 40 is greater than numerator 6

So the answer is 40/48 > 6/48

(10) 5/12 __ 1/6

For common denominator are multiply numerator 1 and denominator 6 by 2

1/6 = 1×2/6×2 = 2/12

So the fraction is 5/12 2/12

Denominator is same and numerator 5 is greater than numerator 2 so the answer is 5/12 > 2/12

(11) 7/8 __ 14/16

For common denominator we multiply numerator 7 and denominator 8 by 2

7/8 = 7×2/8×2 = 14/16

So the fraction is 14/16

Both the fraction are same so the answer is 14/16 = 14/16

(12) 4/9 __ 4/9

Here both the fraction are same so the answer is 4/9 = 4/9

(13) 5/18 __ 1/9

For common denominator we multiply numerator 1 and denominator 9 by 2

1/9 = 1 × 2/9 × 2 = 2/18

Denominator is same and numerator 5 is greater than numerator 2

So the answer is 5/18 > 2/18

(14) 2/3 __ 4/7

For common denominator we multiply numerator 2 and denominator 3 by 7

2/3 = 2 × 7/3 × 7 = 14/21

Also we multiply numerator 4 and denominator 7 by 3

4/3 = 4 × 3/7 × 3 = 12/21

So the fraction are 14/21 12/21

Denominator is same and numerator 14 is greater than numerator 12 so the answer is 14/21 > 12/21

1/6 = 1 × 9/6 × 9 = 9/54

Also, we multiply numerator 4 and denominator 9 by 6

4/9 = 4×6/9×6 = 24/54

So, 9/54 & 24/54 are the like fraction.

(15) 3/7 __ 5/9

For common denominator we multiply numerator 3 and denominator 7 by 9

3/7 = 3×9/7×9 = 27/72

Also, we multiply numerator 5 and denominator 9 by 7

5/9 = 5×7/9×7 = 35/72

So the fraction are 27/72 35/72

Denominator is same and numerator 35 is greater than numerator 27 so the answer is 27/72 11/55.

Problem Set 20 : 

Question no – (1) 

Solution : 

(1) 1/5 + 3/5

We know, if the denominator is same add numerator →

= 1/5 + 3/5

= 1+3/5

= 4/5

∴ 1/5 + 3/5

= 4/5

So, the answer is 4/5.

(2) 2/7 + 4/7

We know, if the denominator is same add numerator →

2/7 + 4/7

= 2 + 4/7

= 6/7

∴ 2/7 + 4/7

= 6/7

So, the answer is 6/7

(3) 7/12 + 2/12

We know, if the denominator is same odd numerator →

= 7/12 + 2/12

= 7+2/12

= 9/12

We divide numerator 9 and denominator 12 by 3.

Hence the answer is 3/4

∴ 7/12 + 2/12

= 3/4

So, the answer is 3/4.

(4) 2/9 + 7/9

We know, if the denominator is same add numerator

2/9 + 7/9

= 2 + 7/9

= 9/9

9 divide by 9 = 1

∴ 2/9 + 7/9

= 1

So, the answer is 1.

(5) 3/15 + 4/15

We know, if the denominator is same add number –

3/15 + 4/15

= 3 + 4/15

= 7/15

∴ 3/15 + 4/15 = 7/15

Thus, the answer is 7/15

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

We know, if the denominator is same add. Numerator –

2/7 + 1/7 + 3/7

= 2 + 1 + 3/7

= 6/7

∴ 2/7 + 1/7 + 3/7 = 6/7

Hence, the answer is 6/7

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

We know, if the denominator is same add numerator –

2/10 + 4/10 + 3/10

= 2 + 4 + 3/10

= 9/10

∴ 2/10 + 4/10 + 3/10 = 9/10

Thus, the answer is 9/10

(8) 4/9 + 1/9

We know, if the denominator is same add numerator –

4/9 + 1/9

= 4 + 1/9

= 5/9

∴ 4/9 + 1/9 = 5/9

Therefore, the answer is 5/9

(9) 5/8 + 3/8

We know, if the denominator is same add numerator –

5/8 + 3/8

= 5+3/8

= 8/8

5/8 + 3/8 = 8/8

We divide numerator 8 and denominator 8 by 1 hence answer is 1

∴ 5/8 + 3/8 = 1

So, the answer is 1

Question no – (2) 

Solution : 

Mother give 3/8 of one guava to Meena.

Mother give 3/8 of the guava to Geeta

Mother given the guava them altogether = Mother gave guava to Meena + mother gave guava to Geeta

= 3/8 + 2/8

= 3+2/8

= 5/8

Thus, 5/8 Part of the one guava given altogether.

Question no – (3) 

Solution : 

The girls of Std V cleaned 3/ 5 of a field.

The boys cleaned 1/ 5 part of the field.

Total part of the field was cleaned altogether

= 3/ 5 + 1/ 5

= 4 / 5

Total part of the field was cleaned altogether is 4/5.

Problem Set 21 : 

Question no – (1) 

Solution : 

(1) 5/7 – 1/7

We know, if the denominator is same subtract numerator –

5/7 – 1/7

= 5-1/7

= 4/7

∴ 5/7 – 1/7 = 4/7

So, the answer is 4/7.

(2) 5/8 – 3/8

We know, if the denominator is same subtract numerator –

= 5/8 – 3/8

= 5 – 3/8

= 2/8

We divide numerator 2 and denominator 8 by 2.

Hence the answer is 1/4

∴ 5/8 – 3/8 = 1/4

So, the answer is 1/4.

(3) 7/9 – 2/9

We know, if the denominator is same subtract numerator –

7/9 – 2/9

= 7 – 2/9

= 5/9

∴ 7/9 – 2/9 = 5/9

So, the answer is 5/9.

(4) 8/11 – 5/11

We know, if the denominator is same subtract numerator –

8/11 – 5/11

= 8 – 5/11

= 3/11

∴ 8/11 – 5/11 = 3/11

So, the answer is 3/11.

(5) 9/13 – 4/13

We know, If the denominator is same subtract numerator –

9/13 – 4/13

= 9-4/13

= 5/13

∴ 9/13 – 4/13 = 5/13

So, the answer is 5/13

(6) 7/10 – 3/10

We know, If the denominator is same subtract numerator –

= 7/10 – 3/10

= 4/10

We divide numerator 4 and denominator 10 by 2.

Hence, the answer is 2/5

∴ 7/10 – 3/10 = 2/5

So, the answer is 2/5.

(7) 9/12 – 2/12

We know, If the denominator is same subtract numerator –

= 9/12 – 2/12

= 9 – 2/12

= 7/12

∴ 9/12 – 2/12 = 7/12

So, the answer is 7/12.

(8) 10/15 – 3/15

We know, If the denominator is same subtract numerator –

= 10/15 – 3/15

= 10-3/15

= 7/15

∴ 10/15 – 3/15 = 7/15

So, the answer is 7/15

Question no – (2) 

Solution : 

As per the given question,

7/10 of a wall is to be paint Ramu paint 4/10 of all

Wall remain paint = Total wall paint – Ramu painted wall

= 7/10 – 4/10

= 7- 4/10

= 3/10

3/10 more needs to be painted.

Problem Set 22 : 

Question no – (1) 

Solution : 

(1) 1/8 + 3/4

Let make a denominator some by multiply numerator 3 and denominator 4 by 2

1/8 + 3/4

= 1/8 + 3×2/4×2

= 1/8 + 6/8

= 1+6/8

= 7/8

∴ 1/8 + 3/4 = 7/8

So, the answer is 7/8

(2) 2/21 + 3/7

Let, make a denominator same by multiply numerator 3 and denominator 7 by 3

2/21 + 3/7

= 2/21 + 3×3/7×3

= 2/21 + 9/21

= 2+9/21

= 11/21

∴ 2/21 + 3/7 = 11/21

So, the answer is 11/21.

(3) 2/5 + 1/3

Let make a denominator same by multiply numerator 2 and denominator 5 by 3 and also multiply numerator 1 and denominator 3 by 5

= 2/5 + 1/3

= 2×3/5×3 + 1×5/3×5

= 6/15 + 5/15

= 6 + 5/15

= 11/15

∴ 2/5 + 1/3 = 11/15

So, the answer is 11/15.

(4) 2/7 + 1/2

Let make a denominator same by multiply numerator 2 and denominator 7 by 2 and also multiply numerator 1 and denominator 2 by 7

= 2/7 + 1/2

= 2×2/7×2

= 1×7/2×7

= 4/14 + 7/14

= 4+7/14

= 11/14

∴ 2/7 + 1/2

= 11/14

So, the answer is 11/14.

(5) 3/9 + 3/5

Let make a denominator same by multiply numerator 3 and denominator 9 by 5 and also multiply numerator 3 and denominator 5 by 9

= 3/9 + 3/5

= 3×5/9×5

= 15/45 + 27/45

= 15 + 27/45

= 42/45

∴ 3/9 + 3/5 = 42/45

So, the answer is 42/45

Question no – (2) 

Solution : 

(1) 3/10 – 1/20

Let, make a denominator same by multiply numerator 3 and denominator 10 by 2

= 3/10 – 1/20

= 3×2/10×2 – 1/20

= 6/20 – 1/20

= 6 -1/20

= 5/20

We divide numerator 5 and denominator 20 by 5

Hence, the answer is 1/4

∴ 3/10 – 1/20 = 1/4

So, the answer is 1/4

(2) 3/4 – 1/2

Let, make a denominator same by multiply the numerator 1 and denominator 2 by 2

3/4 – 1/2

= 3/4 – 1×2/2×2

= 3/4 – 2/4

= 3 – 2

= 1/4

∴ 3/4 – 1/2 = 1/4

So, the answer is 1/4

(3) 6/14 – 2/7

Let make a denominator same by multiply the numerator 2 and denominator 7 by 2

6/14 – 2/7

= 6/14 – 2×2/7×2

= 6/14 – 4/14

= 6 – 4/14

= 2/14

= 1/7

We divide numerator 2 and denominator 14 by 2 hence the answer is 1/7

∴ 6/14 – 2/7 = 1/7

So, the answer is 1/7.

(4) 4/6 – 3/5

Let make a denominator same by multiply the numerator 4 and denominator 6 by 5 and also multiply numerator 3 and denominator 5 by 6

4/6 – 3/5

= 4×5/6×5 – 3×6/5×6

= 20/30 – 18/30

= 20 – 18/30

= 2/30

∴ 4/6 – 3/5 = 2/30

So, the answer is 2/30.

(5) 2/7 – 1/4

Let make a denominator same by multiply the numerator 2 and denominator 7 by 4 and also numerator 1 and denominator 4 by 7

2/7 – 1/4

= 2×4/7×4 – 1×7/4×7

= 8/28 – 7/28

= 8 – 7/28 – 1/28

∴ 2/7 – 1/4 = 1/28

So, the answer is 1/28

Problem Set 23 : 

Question no – (1) 

Solution : 

(1) 15 pencils

1/3 of 15 pencils = 15/3 pencils = 5 pencils

15 divided 3 = 5

1/3 of 15 pencils is 5 pencils.

(2) 21 balloons

1/3 of balloons = 21/3 balloons = 7 balloons

21 divided 3 = 7

1/3 of 21 balloons is 7 balloons

(3) 9 children

1/3 of 9 children = 9/3 children = 3 children

9 divided 3 = 3

1/5 of 9 children is 3 children

(4) 18 books

1/3 of 18 books = 18/3 books = 6 books

18 divided 3 = 6

1/3 of 18 books is 6 books.

Question no – (2) 

Solution : 

(1) 15 pencils

1/3 of 15 pencils = 15/3 pencils = 5 pencils

15 divided 3 = 5

1/3 of 15 pencils is 5 pencils.

(2) 21 balloons

1/3 of balloons = 21/3 balloons = 7 balloons

21 divided 3 = 7

1/3 of 21 balloons is 7 balloons

(3) 9 children

1/3 of 9 children = 9/3 children = 3 children

9 divided 3 = 3

1/5 of 9 children is 3 children

(4) 18 books

1/3 of 18 books = 18/3 books = 6 books

18 divided 3 = 6

1/3 of 18 books is 6 books.

Question no – (3) 

Solution : 

(1) 2/3 of 30

= 2/3 of 30 = 60/3 = 20

= 60 divided 3 = 20

= 3/5 of 30 is 20

(2) 7/11 of 22

= 7/11 of 22 = 154/11 = 14

= 154 divided 11 = 14

= 7/11 of 22 is 14

(3) 3/8 of 64

= 3/8 of 64 = 192/8 = 24

= 192 divided 8 = 24

= 3/8 of 64 is 24

(4) 5/15 of 65

= 5/13 of 65 = 325/13 = 25

= 325 divided 13 = 25

= 5/13 of 65 is 25

 

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