Which of the following, Option 1 or Option 2, is a proportion? Option 1: 5/6 = 15/18 Option 2 5/6 = 20/18 (1 point) Option is a proportion.

1 answer

A proportion is defined as an equation that states that two ratios are equal. To determine which option is a proportion, we can simplify both sides of the equations and see if they are equivalent.

Option 1: \( \frac{5}{6} = \frac{15}{18} \)

To check if this is true, we simplify \( \frac{15}{18} \):

\( \frac{15 \div 3}{18 \div 3} = \frac{5}{6} \)

Since both sides equal \( \frac{5}{6} \), Option 1 is a valid proportion.

Option 2: \( \frac{5}{6} = \frac{20}{18} \)

Now let's simplify \( \frac{20}{18} \):

\( \frac{20 \div 2}{18 \div 2} = \frac{10}{9} \)

Since \( \frac{5}{6} \) does not equal \( \frac{10}{9} \), Option 2 is not a valid proportion.

Therefore, Option 1 is a proportion.