Gujarat Board GSEB Textbook Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.4 Textbook Questions and Answers.

Gujarat Board Textbook Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.4

Question 1.
Find:
(i) 12 ÷ (frac { 3 }{ 4 })
(ii) 14÷ (frac { 5 }{ 6 })
(iii) 8 ÷ (frac { 7 }{ 3 })
(iv) 4 ÷ (frac { 8 }{ 3 })
(v) 3 ÷ 2(frac { 1 }{ 3 })
(vi) 5 ÷ 3(frac { 4 }{ 7 })
Solution:

Question 2.
Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.
(i) (frac { 3 }{ 7 })
(ii) (frac { 5 }{ 8 })
(iii) (frac { 9 }{ 7 })
(iv) (frac { 6 }{ 5 })
(v) (frac { 12 }{ 7 })
(vi) (frac { 1 }{ 8 })
(vii) (frac { 1 }{ 11 })
Solution:
(i) The recipocal of (frac { 3 }{ 7 }) is (frac { 7 }{ 3 })
(improper fraction)

(ii) The reciprocal of (frac { 5 }{ 8 }) is (frac { 8 }{ 5 });
(improper fraction)

(iii) The reciprocal of (frac { 9 }{ 7 }) is (frac { 7 }{ 9 });
(proper fraction)

(iv) The reciprocal of (frac { 6 }{ 5 }) is (frac { 5 }{ 6 })
(proper fraction)

(v) The reciprocal of (frac { 12 }{ 7 }) is (frac { 7 }{ 12 })
(proper fraction)

(vi) The reciprocal of (frac { 1 }{ 8 }) is 8;
(whole number)

(vii) The reciprocal of (frac { 1 }{ 11 }) is 11;
(whole number)

Question 3.
Find:
(i) (frac { 7 }{ 3 }) ÷ 2
(ii) (frac { 4 }{ 9 }) ÷ 5
(iii) (frac { 6 }{ 13 }) ÷ 7
(iv) 4(frac { 1 }{ 3 }) ÷ 3
(v) 3(frac { 1 }{ 2 }) ÷ 4
(vi) 4(frac { 4 }{ 7 }) ÷ 7
Solution:
(i) (frac { 7 }{ 3 }) ÷ 2
= (frac { 7 }{ 3 }) x (frac { 1 }{ 2 })
= 1(frac { 1 }{ 6 })

(ii) (frac { 4 }{ 9 }) ÷ 5
= (frac { 4 }{ 9 }) x (frac { 1 }{ 5 })
= (frac { 4 }{ 45 })

(iii) (frac { 6 }{ 13 }) ÷ 7
= (frac { 6 }{ 13 }) x (frac { 1 }{ 7 })
= (frac { 6 }{ 91 })

(iv) 4(frac { 1 }{ 3 }) ÷ 3
= (frac { 13 }{ 3 }) x (frac { 1 }{ 3 })
= 1(frac { 4 }{ 9 })

(v) 3(frac { 1 }{ 2 }) ÷ 4
= (frac { 7 }{ 2 }) x (frac { 1 }{ 4 })
= (frac { 7 }{ 8 })

(vi) 4(frac { 4 }{ 7 }) ÷ 7
= (frac { 31 }{ 7 }) x (frac { 1 }{ 7 })
= (frac { 31 }{ 49 })

Question 4.
(i) (frac { 2 }{ 5 }) ÷ (frac { 1 }{ 2 })
(ii) (frac { 4 }{ 9 }) ÷ (frac { 2 }{ 3 })
(iii) (frac { 3 }{ 7 }) ÷ (frac { 8 }{ 7 })
(iv) 2(frac { 1 }{ 3 }) ÷ (frac { 3 }{ 5 })
(v) 3(frac { 1 }{ 2 }) ÷ (frac { 8 }{ 3 })
(vi) 2(frac { 2 }{ 5 }) ÷ 1(frac { 1 }{ 2 })
(vii) 3(frac { 1 }{ 5 }) ÷ 1(frac { 2 }{ 3 })
(viii) 2(frac { 1 }{ 5 }) ÷ 1(frac { 1 }{ 5 })
Solution: