To find fractions equivalent to the ratio 4:1, we can express this ratio as a fraction. The fraction representation of 4:1 is \( \frac{4}{1} \).
To create equivalent fractions, we can multiply both the numerator and the denominator by the same positive integer. For example:
- If we multiply by 2, we get \( \frac{4 \times 2}{1 \times 2} = \frac{8}{2} \).
- If we multiply by 3, we get \( \frac{4 \times 3}{1 \times 3} = \frac{12}{3} \).
- If we multiply by 4, we get \( \frac{4 \times 4}{1 \times 4} = \frac{16}{4} \).
- If we multiply by 5, we get \( \frac{4 \times 5}{1 \times 5} = \frac{20}{5} \).
So, possible values for the blank could be:
- 8 (for \( \frac{8}{2} \))
- 12 (for \( \frac{12}{3} \))
- 16 (for \( \frac{16}{4} \))
- 20 (for \( \frac{20}{5} \))
If you want a specific fraction equivalent to 4:1, you could say:
8:4 (where the blank is 8).