We need to find the missing numbers to make the three fractions equivalent: $\frac{1}{5} = \frac{3}{\Box} = \frac{\Box}{20}$.

ArithmeticFractionsEquivalent FractionsProportionsRatio
2025/3/16

1. Problem Description

We need to find the missing numbers to make the three fractions equivalent: 15=3=20\frac{1}{5} = \frac{3}{\Box} = \frac{\Box}{20}.

2. Solution Steps

First, let's find the missing denominator in the fraction 3\frac{3}{\Box}. We know that 15=3\frac{1}{5} = \frac{3}{\Box}. To get from 1 to 3 in the numerator, we multiply by

3. So, we need to multiply the denominator 5 by 3 as well:

5×3=155 \times 3 = 15
Therefore, 15=315\frac{1}{5} = \frac{3}{15}.
Next, we need to find the missing numerator in the fraction 20\frac{\Box}{20}. We know that 15=20\frac{1}{5} = \frac{\Box}{20}. To get from 5 to 20 in the denominator, we multiply by

4. So, we need to multiply the numerator 1 by 4 as well:

1×4=41 \times 4 = 4
Therefore, 15=420\frac{1}{5} = \frac{4}{20}.
So, we have 15=315=420\frac{1}{5} = \frac{3}{15} = \frac{4}{20}.

3. Final Answer

The missing numbers are 15 and

4. $\frac{1}{5} = \frac{3}{15} = \frac{4}{20}$.

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