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Equivalent Fractions

c : Replace □...

Question

Question 3(c) :

Replace $□$ in each of the following by the correct number:

$\frac{3}{5} = \frac{□}{20}$

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Solution

The fractions given in the question are equal.

$∴$ They are equivalent.

To find an equivalent fraction of a given fraction, we may multiply or divide both the numerator and the denominator of the given fraction by the same number.

For the given fraction $\frac{3}{5}$ , we multiply both the numerator and the denominator by 4. ( $∵ 20 \div 5 = 4$ )

$\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{\begin{matrix} 12 \end{matrix}}{20}$

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Question 3(b) :

Replace $□$ in each of the following by the correct number:

$\frac{5}{8} = \frac{10}{□}$

Question 3(d) :

Replace $□$ in each of the following by the correct number:

$\frac{45}{60} = \frac{15}{□}$

Question 11

Find the missing number in the box in each of the proportions:

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Question 3(a) :

Replace $□$ in each of the following by the correct number:

$\frac{2}{7} = \frac{8}{□}$

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Replace $□$ in each of the following by the correct number:

$\frac{18}{24} = \frac{□}{4}$

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Equivalent Fractions

Standard VI Mathematics

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