The problem asks us to complete three equivalent fractions: $\frac{1}{4} = \frac{3}{?} = \frac{?}{20}$. We need to find the missing denominators and numerators.

1. Problem Description

The problem asks us to complete three equivalent fractions: $\frac{1}{4} = \frac{3}{?} = \frac{?}{20}$. We need to find the missing denominators and numerators.

2. Solution Steps

First, we need to find the missing denominator in the second fraction $\frac{3}{?}$.

Since $\frac{1}{4} = \frac{3}{?}$, we can find the missing value by considering what we need to multiply 1 by to get

3. That is $1 \times 3 = 3$.

Thus, to maintain the equality, we must multiply the denominator 4 by the same number: $4 \times 3 = 12$.

Therefore, the second fraction is $\frac{3}{12}$.

Next, we need to find the missing numerator in the third fraction $\frac{?}{20}$.

Since $\frac{1}{4} = \frac{?}{20}$, we can find the missing value by considering what we need to multiply 4 by to get

2

0. That is $4 \times 5 = 20$.

Thus, to maintain the equality, we must multiply the numerator 1 by the same number: $1 \times 5 = 5$.

Therefore, the third fraction is $\frac{5}{20}$.

3. Final Answer

The three equivalent fractions are $\frac{1}{4} = \frac{3}{12} = \frac{5}{20}$.

The missing numbers are 12 and 5.