# Maths Ace Class 7 Solutions Chapter 2

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## Maths Ace Class 7 Solutions Chapter 2 Fractions

Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Maths Ace Prime Class 7 Math Book, Chapter 2, Fractions. Here students can easily find step by step solutions of all the problems for Fractions, Exercise 2.1, 2.1, 2.3 and 2.4 Also here our mathematics teacher’s are 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 chapter 2 solutions.

Fractions Exercise 2.1 Solution :

Question no – (1)

Solution :

(a) 3/4, 7/12, 5/6, 11/12

= 3/4, 5/6, 7/12, 11/12

(b) 5/4, 9/14, 16/35, 6/10

= 16/35, 6/10, 9/14, 4/5

(2) Solve :

Solution :

(a) 12/13 + 14/7

= 84 + 182/91

= 276/91

= 38/13

(b) 4 4/5 + 16/11

= 24/5 + 16/11

= 164 + 80/55

= 344/55

(c) 11/4 – 1/8

= 22 – 1/8

= 21/8

(d) 2 2/7 – 23/21

= 16/7 – 23/21

= 48 – 23/21

= 25/21

Question no – (3)

Solution :

= 7 3/7 – 5 1/5

= 52/7 – 26/5

= 260 – 182/35

= 78/35

Question no – (4)

Solution :

= Third side = 6 2/3 – (2 1/2 + 3 1/3)

= 20/3 – (5/2 + 10/3)

= 20/3 – (15 + 20/6)

= 20/3 – 35/6

= 40 – 35/6

= 5/6 cm

Therefore, The length of the third side is 5/6 cm.

Fractions Exercise 2.2 Solution :

Question no – (2)

Solution :

(a) 1/2 of 34

= 1/2 × 34

= 17

(b) 2/3 of 36

= 2/3 × 36

= 24

(c) 3/5 of 30

= 3/5 × 30

= 18

(d) 4/7 of 13/16

= 4/7 × 13/16

= 13/28

(e) 9/11 of 22/3

= 9/11 × 22/3

= 6

(f) 13/17 of 1 2/15

= 13/17 × 1 2/15

= 13/17 × 17/15

= 13/17

Question no – (3)

Solution :

(a) 4 3/4 × 7

= 19/4 × 7

= 133/4

(b) 2 1/3 × 5

= 7/3 × 5

= 35/3

(c) 10 × 2 2/9

= 10 × 20/9

= 200/9

(d) 1/3 × 2 2/5

= 1/3 × 12/5

= 4/5

(e) 1/5 × 3 4/7

= 1/5 × 25/7

= 5/7

(f) 9 3/8 × 3 4/5

= 75/8 × 19/5

= 285/8

Question no – (4)

Solution :

As per the question,

4 1/5 × 1 3/7

= 21/5 × 21/7

= 441/35 m2

Therefore, the area of the rectangular field is 441/35 m2

Question no – (5)

Solution :

Number of student play cricket

= 2/5 × 45

= 18

= Number of the student play football

= 1/3 × 45

= 15

Rest play tennis

= 45 – (18 + 15)

= 45 – 33

= 12

Fraction,

= 12/45

= 4/15

(a) 18 students play cricket

(b) 15 students play football

(c) 4/15 of the total no of student play tennis

Question no – (7)

Solution :

According to the question,

In 1 hour vehicle can cover

= 70 3/4 km

= 283/4 km

In 2 2/5 = 12/5 hour vehicle can cover

= 283/4 × 12/5

= 849/5

= 169.8 km

Therefore, 169.8 km distance will it cover in 2 2/5 hours.

Fractions Exercise 2.3 Solution :

Question no – (1)

Solution :

(a) The reciprocals of 7/12 is

= 12/7

(b) The reciprocals of 5/8 is

= 8/5

(c) The reciprocals of 2 11/12 is

= 35/12

= 12/35

(d) The reciprocal of 3 17/21 is

= 80/21

= 21/80

Question no – (2)

Solution :

(a) 1 ÷ 2/5

= 1 × 5/2

= 5/2

(b) 4 ÷ 2/3

= 4 × 3/2

= 6

(c) 5 ÷ 15/2

= 5 × 2/15

= 2/3

(d) 1 4/9 ÷ 13

= 13/9 × 1/13

= 1/9

(e) 21/11 ÷ 7

= 21/11 × 1/7

= 3/11

(f) 3/5 ÷ 15

= 3/5 × 1/15

= 1/25

(g) 5/2 ÷ 15/4

= 5/2 × 4/15

= 2/3

(h) 3/11 ÷ 1/22

= 3/11 × 22/1

= 6

(i) 4/7 ÷ 20/49

= 4/7 × 49/20

= 7/5

(j) 7/9 ÷ 3 1/2

= 7/9 × 2/7

= 2/9

Question no – (3)

Solution :

(a) (2/9 ÷ 3/5) ÷ 6/5 of (3/5 × 2/15)

= (2/9 × 5/3) ÷ 6/5 of (3/5 ÷ 2/15)

= (10/27 ÷ 6/5) of 2/25

= 10/27 × 5/6 × 2/25

= 2/81

(b) (13/4 – 3/4) ÷ (17/9 – 1/2)

= (13 – 3/4) ÷ (24 – 9/18)

= 10/4 ÷ 25/18 = 10/4 × 18/25

= 9/5

(c) 2 2/7 ÷ 1 4/11 × 2 4/9

= 16/7 ÷ 15/11 × 22/9

= 16/7 × 11/15 × 22/9

= 3872/945

= 4 92/945

(d) 1 4/13 × 7 4/5 ÷ 11 1/3

= 1 4/13 × 7 4/5 ÷ 11 1/3

= 17/13 × 39/5 ÷ 34/3

= 17/13 × 39/5 × 3/34

= 9/10

Fractions Exercise 2.4 Solution :

Question no – (1)

Solution :

Length of each piece

= 3 3/7 ÷ 8

= 24/7 × 1/8

= 3/7 m

So, the length of each piece is 3/7 m.

Question no – (2)

Solution :

Cost of 1 kg apple

= 520 ÷ (6 1/2)

= 520 ÷ 13/2

= 520 × 2/13

= 80%
The cost of 1 kg apples is 80%.

Question no – (3)

Solution :

1 hr truck travel

= 471 3/2 ÷ 18 1/2

= 945/2 ÷ 37/2

= 945/2 × 2/37

= 945/37

= 25.54 km

Therefore, 25.54 km is the distance travelled by the truck in 1 hour.

Question no – (4)

Solution :

The number should be

= 42 ÷ 6 2/9

= 42 ÷ 56/9

= 42 × 9/56

= 5427/8

= 6 3/4

Question no – (5)

Solution :

The number

= 1 5/7 × 7 1/6

= 12/7 × 43/6

= 86/7

= 12 2/7

So, the number is 12 2/7.

Next Chapter Solution :

Updated: June 16, 2023 — 3:15 pm