Which of the following, Option 1 or Option 2, is a proportion

A.
4/5 = 20/25

B.
4/5 = 16/30

1 answer

A proportion is an equation that states that two ratios are equal.

To evaluate both options:

Option 1: \[ \frac{4}{5} = \frac{20}{25} \]

Now we simplify \( \frac{20}{25} \): \[ \frac{20 \div 5}{25 \div 5} = \frac{4}{5} \]

Since both sides equal \( \frac{4}{5} \), Option 1 is a proportion.


Option 2: \[ \frac{4}{5} = \frac{16}{30} \]

Now we simplify \( \frac{16}{30} \): \[ \frac{16 \div 2}{30 \div 2} = \frac{8}{15} \]

Since \( \frac{4}{5} \) does not equal \( \frac{8}{15} \), Option 2 is not a proportion.

Thus, the correct answer is Option 1: \( \frac{4}{5} = \frac{20}{25} \) is a proportion.