Find the equivalent fraction of \(\frac{3}{5}\) with the following:

1. Denominator 20.

2. Numerator 9.

The equivalent fraction of 5 3 ​ with a denominator of 20 is 20 12 ​ , and with a numerator of 9 it is 15 9 ​ .
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Answered by Anonymous | 2025-07-04

To find equivalent fractions, we modify either the numerator or denominator while keeping the value of the fraction unchanged. Let's work through the two parts of the question step-by-step:

Find the equivalent fraction of 5 3 ​ with a denominator of 20.
To get a denominator of 20 from the denominator of 5, we multiply the denominator by 4 (since 5 × 4 = 20 ). To maintain the balance of the fraction's value, the numerator must also be multiplied by the same factor:
3 × 4 = 12
Thus, the equivalent fraction is 20 12 ​ .

Find the equivalent fraction of 5 3 ​ with a numerator of 9.
To change the numerator to 9 from 3, we multiply the numerator by 3 (since 3 × 3 = 9 ). We do the same with the denominator to keep the fraction equivalent:
5 × 3 = 15
Therefore, the equivalent fraction is 15 9 ​ .


By understanding how to scale fractions up or down by multiplying both the numerator and the denominator by the same number, we preserve the value of the original fraction. This method helps in finding equivalent fractions easily.

Answered by MasonWilliamTurner | 2025-07-06