By what fraction should 5 3 7 be divided to get 4 7 ?

Let the fraction be x . So, 5 3 7 ÷ x = 4 7 ⇒ 5 3 7 ÷ 4 7 = x ⇒ 38 7 × 7 4 = x ⇒ 19 2 = 9 1 2 = x Thus, the fraction is 9 1 2

By what fraction should 5 3 7 be divided to get 4 7 ?

Let the fraction be x . So, 5 3 7 ÷ x = 4 7 ⇒ 5 3 7 ÷ 4 7 = x ⇒ 38 7 × 7 4 = x ⇒ 19 2 = 9 1 2 = x Thus, the fraction is 9 1 2

A shelf is 24 6 7 cm long. How many books can be arranged on the shelf if each book is 4 1 7 cm wide? How many encyclopedias can fit on the shelf if each occupies 5 2 7 cm of width?

Length of shelf = 24 6 7 cm Converting it into improper fraction, we get the length of shelf = 174 7 cm Width of a book = 4 1 7 cm = 29 7 cm Number of books that can be arranged on the shelf = Length of a shelf Width of a book ⇒ Number of books that can be arranged on the shelf = 174 7 ÷ 29 7 = 174 7 × 7 29 = 6 Hence, 6 books can be arranged on the shelf. Given, the width of an encyclopedia = 5 2 7 cm = 37 7 cm Number of encyclopedia that can fit on the shelf = 174 7 ÷ 37 7 = 174 37 = 4 26 37 Hence, the number of encyclopedia that can fit on the shelf is 4

An NGO wanted to plant 6 , 000 plants as a part of their social service. All the members of the NGO participated and planted 7 12 plants on a Sunday and the remaining on next Sunday. How many plants were planted on each Sunday by the NGO

Total number of plants needs to be planted by NGO as a part of their social service = 6000 plants. It is given that, the fraction of plants planted on the first Sunday = 7 12 Total number of plants planted on the first Sunday = 7 12 × 6000 = 42000 12 Now need to reduce the fraction to the simplest form, by dividing the numerator and denominator by 12 Hence, the total number of plants planted on the first Sunday = 3500 The number of plants planted on the next Sunday = 6000 - 3500 = 2500 Hence, the number of plants planted on each Sunday are 3500 and 2500

Rohan devotes 7 hours to his studies everyday. He devotes 2 4 5 hours to Mathematics, 1 1 4 hours to English and the remaining time to study other subjects. How much time does he spend on other subjects?

Total amount of time devoted by Rohan to his studies everyday = 7 hours Time devoted by Rohan to Mathematics = 2 4 5 hours = 14 5 hours Time devoted by Rohan to English = 1 1 4 hours = 5 4 hours Time devoted by Rohan to Mathematics and English = 14 5 + 5 4 = 56 + 25 20 = 81 20 Time devoted by Rohan to study other subjects = 7 - 81 20 = 140 - 81 20 = 59 20 = 2 19 20 hours

E M B I B E

START UP MATHEMATICS>Chapter 2 - Fractions>REVIEW EXERCISES>Q 8

MEDIUM

7th CBSE

IMPORTANT

Earn 100

By what fraction should $5 \frac{3}{7}$ be divided to get $\frac{4}{7} ?$

Important Questions on Fractions

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Fractions>THINKING SKILLS>Q 1

A shelf is

24 \frac{6}{7} cm

long. How many books can be arranged on the shelf if each book is

4 \frac{1}{7} cm

wide? How many encyclopedias can fit on the shelf if each occupies

5 \frac{2}{7} cm

of width?

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Fractions>THINKING SKILLS>Q 2

A cat drinks

1 \frac{3}{4}

litres of milk contained in a utensil having

2 \frac{1}{4}

litres of milk. What fraction of milk did the cat drink. Express in fractions

EASY

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Fractions>THINKING SKILLS>Q 5

A farmer cultivated sugarcane in one-fourth of his square field as shown. He wants to grow three different vegetables in equal areas in the remaining part of the field such that $2$ parts are rectangular and one is square. Can you help him?

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