Exercise 2.4

1 Find the reciprocal of each of the following fractions

(i)

Sol:

The reciprocal of 58 is:

(ii)

Sol:

The reciprocal of 87 is:

(iii)

137

Sol:

The reciprocal of 137 is:

(iv)

Sol:

The reciprocal of 34 is:

2 Find

(i)

18 ÷ 34

Sol:

Dividing by a fraction is the same as multiplying by its reciprocal

181×43

=××

(ii)

8 ÷ 73

Sol:

81×37

=××

(iii)

3 ÷ 213

Sol:

First convert 213 to improper fraction:

Now solve:

31×37

=××

(iv)

5 ÷ 347

Sol:

First convert 347 to improper fraction:

Now solve:

51×725

=××

3 Find

(i)

25 ÷ 3

Sol:

25×13

=××

(ii)

78 ÷ 5

Sol:

78×15

=××

(iii)

49 ÷ 45

Sol:

49×54

=××

4. Deepak can paint 25 of a house in one day. If he continues working at this rate, how many days will he take to paint the whole house?

Solution:

Deepak paints 25 of house per day

To find days needed, divide 1 (whole house) by 25:

1×52

=××

=2 days

Fractions, Decimals and Rational Numbers

Glossary

Exercise 2.4

(i)

(ii)

(iii)

(iv)

(i)

(ii)

(iii)

(iv)

(i)

(ii)

(iii)

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Fractions, Decimals and Rational Numbers

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Glossary

Exercise 2.4

(i)

(ii)

(iii)

(iv)

(i)

(ii)

(iii)

(iv)

(i)

(ii)

(iii)