Which of the following is a proportion

5/6 = 17/18
5/6 = 20/18

1 answer

A proportion is an equation that states that two ratios are equal. Let's analyze the two options provided:

  1. 5/6 = 17/18

    • To check if these two fractions are equal, we can cross-multiply: \[ 5 \times 18 = 90 \] \[ 6 \times 17 = 102 \] Since 90 is not equal to 102, \( \frac{5}{6} \neq \frac{17}{18} \).
  2. 5/6 = 20/18

    • Again, we'll cross-multiply: \[ 5 \times 18 = 90 \] \[ 6 \times 20 = 120 \] Since 90 is not equal to 120, \( \frac{5}{6} \neq \frac{20}{18} \).

Neither of the options given (5/6 = 17/18 or 5/6 = 20/18) represents a true proportion.