Find the equivalent fractions to $\frac{1}{5}$ with the denominators 15 and 25. Determine the difference between the numerators of both the fractions.

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Solution

Equivalent fractions are fractions which represent the same part of the whole.
To find an equivalent fraction of a given fraction, we multiply or divide both the numerator and the denominator of the given fraction by the same number.

Now, $5 \times 3 = 15$ and $5 \times 5 = 25$

This means we need to multiply both the numerator and the denominator by 3, and by 5, to get the two equivalent fractions.

Therefore, the required equivalent fractions are $= \frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$
$= \frac{1}{5} = \frac{1 \times 5}{5 \times 5} = \frac{5}{25}$
The difference between the numerators of both the fractions = 5 - 3 = 2

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Find the equivalent fractions to 15 with the denominators 15 and 25. Determine the difference between the numerators of both the fractions.

Find the equivalent fractions to $\frac{1}{5}$ with the denominators 15 and 25. Determine the difference between the numerators of both the fractions.