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Mathematics

Find the equivalent fraction of 35\dfrac{3}{5} having

(i) denominator 30

(ii) numerator 27

Fractions

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Answer

(i) Equivalent fraction of 35\dfrac{3}{5} with denominator 30

To get 30 from 5, we have to multiply 5 by 6.

So, multiply both numerator and denominator by 6.

⇒35=3×65×6=1830.\Rightarrow \dfrac{3}{5} = \dfrac{3 \times 6}{5 \times 6} \\[1em] = \dfrac{18}{30}.

Hence, the required equivalent fraction = 1830\dfrac{18}{30}.

(ii) Equivalent fraction of 35\dfrac{3}{5} with numerator 27

To get 27 from 3, we have to multiply 3 by 9.

So, multiply both numerator and denominator by 9.

⇒35=3×95×9=2745.\Rightarrow \dfrac{3}{5} = \dfrac{3 \times 9}{5 \times 9} \\[1em] = \dfrac{27}{45}.

Hence, the required equivalent fraction = 2745\dfrac{27}{45}.

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