Divide. (vii) 22 5 by 11 15

Given, 22 5 by 11 15 , Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. = 22 5 by 11 15 = 22 5 × 15 11 = 2 1 × 3 1 = 6 Therefore, the solution is 6 .

Divide. (viii) 18 5 6 by 3 2 3

Given, 18 5 6 by 3 2 3 , Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. = 18 5 6 by 3 2 3 = 113 6 by 11 3 = 113 6 × 3 11 = 113 2 × 1 11 = 113 22 = 5 3 22 Therefore, the solution is 5 3 22 .

A car moving at constant speed covers 340 km in 5 2 3 hours. Find the distance covered by it in 1 hour.

Given, Total speed covered by car = 300 km Number of hours = 5 2 3 = 17 3 Number of kms covered in one hour = = 300 ÷ 17 3 = 300 × 3 17 = 900 17 = 50 50 17 Therefore, distance covered by car is 50 50 17 kms.

The product of two numbers is 23 3 4 . If one of the numbers is 6 11 14 . find the other.

According to the question, Product of the two numbers = 23 3 4 = 95 4 One of the number = 6 11 14 = 95 14 Let the other number be x . ⇒ x × 95 14 = 95 4 ⇒ x = 95 4 ÷ 95 14 ⇒ x = 95 4 × 14 95 ⇒ x = 14 4 x = 7 2 x = 3 1 2 Hence, 3 1 2 is the other number.

By what number should 68 1 5 be multiplied to get 15 2 5 ?

Let us consider x should be multiplied, ⇒ 68 1 5 × x = 15 2 5 First convert the mixed fractions into improper fractions. ⇒ 68 1 5 × x = 15 2 5 ⇒ 341 5 × x = 77 5 ⇒ x = 77 5 ÷ 341 5 ⇒ x = 77 5 × 5 341 x = 77 341 x = 7 31 Therefore, required number is 7 31 .

After spending 27 40 of her money, Sahana had ₹ 65 left. How much money did she spend?

Given, Amount left after spent by Sahana = 27 40 Total amount she is left with = ₹ 65 Let the total amount Sahana have be x . Amount of money spend = 27 x 40 ⇒ x - 27 x 40 = 65 ⇒ 40 x - 27 x 40 = 65 ⇒ 13 x 40 = 65 x = 65 × 40 13 x = 200 Total amount she was having = ₹ 200 ⇒ 200 - 65 = ₹ 135 Therefore, total money she spent was ₹ 135 .

E M B I B E

Be a Maths Star>Number System>Chapter 2 - Fractions and Decimals>Exercise 2.4

Monica Capoor Solutions for Exercise 10: Exercise 2.4

Author:Monica Capoor

Monica Capoor Mathematics Solutions for Exercise - Monica Capoor Solutions for Exercise 10: Exercise 2.4

Attempt the free practice questions from Exercise 10: Exercise 2.4 with hints and solutions to strengthen your understanding. Be a Maths Star solutions are prepared by Experienced Embibe Experts.

Questions from Monica Capoor Solutions for Exercise 10: Exercise 2.4 with Hints & Solutions

EASY

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 2

Divide.

(vii) $\frac{22}{5} by \frac{11}{15}$

EASY

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 2

Divide.

(viii) $18 \frac{5}{6} by 3 \frac{2}{3}$

EASY

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 3

A car moving at constant speed covers $340$ km in $5 \frac{2}{3}$ hours. Find the distance covered by it in $1$ hour.

MEDIUM

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 4

A large can of milk contains $10 \frac{1}{3}$ litres of milk. If the entire milk is to be poured into smaller containers, each of capacity $1 \frac{10}{21}$ litres, find the number of containers required.

MEDIUM

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 5

The product of two numbers is $23 \frac{3}{4} .$ If one of the numbers is $6 \frac{11}{14}$ . find the other.

MEDIUM

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 6

By what number should $68 \frac{1}{5}$ be multiplied to get $15 \frac{2}{5}$ ?

MEDIUM

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 7

After spending $\frac{27}{40}$ of her money, Sahana had $₹ 65$ left. How much money did she spend?

MEDIUM

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 2 - Fractions and Decimals>Exercise 2.4>Q 9

A family dosa $185 \frac{1}{2}$ cm was divided into equal parts, each of length $18 \frac{11}{20}$ cm. How many people enjoyed these equal pieces of dosa assuming that each person consumed only one such piece of dosa?

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