Choose the correct option by matching equivalent fractions:
i) $\frac{260}{360}$        a) $\frac{1}{11}$
ii) $\frac{11}{121}$        b) $\frac{1}{4}$
iii) $\frac{6}{106}          c) $\frac{13}{18}$
iv) $\frac{25}{100}$        d) $\frac{3}{53}$A) i - a , ii - b , iii - c , iv - dB) i - c , ii - a , iii - d , iv - bC) i - b , ii - d , iii - a , iv - cD) i - c , ii - a , iii - b , iv - d

To do:

We have to match the equivalent fractions.

Solution:

Equivalent fractions :

* Numerator of one fraction should be multiple of Numerator of another fraction.

* Denominator of one fraction should be multiple of Denominator of another

fraction.

Let's take

i)  $\frac{260}{360}$   

$\displaystyle \frac{260}{360} \ =\ \frac{13\times 2\times 10}{18\times 2\times 10}$

$\displaystyle \frac{260}{360} \ =\ \frac{13}{18}$

So, i - c

Let's take

ii)  $\frac{11}{121}$   

$\displaystyle \frac{11}{121} \ =\ \frac{1\times 11}{11\times 11}$

$\displaystyle \frac{11}{121} \ =\ \frac{1}{11}$

So, ii - a

Let's take

iii)  $\frac{6}{106}$   

$\displaystyle \frac{6}{106} \ =\ \frac{2\times 3}{2\times 53}$

$\displaystyle \frac{6}{106} \ =\ \frac{3}{53}$

So, iii - d

Let's take

iv) $\frac{25}{100}$   

$\displaystyle \frac{25}{100} \ =\ \frac{1\times 25}{4\times 25}$

$\displaystyle \frac{25}{100} \ =\ \frac{1}{4}$

So, iv - b

Therefore, option B) i - c , ii - a , iii - d , iv - b  is correct.

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Updated on: 10-Oct-2022

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