Which of the following is a proportion

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

1 answer

To determine whether each pair of fractions is a proportion, we check if the cross products are equal.

  1. For the first pair: \( \frac{6}{5} = \frac{17}{18} \)

    Cross multiplying gives: \[ 6 \times 18 = 108 \] \[ 5 \times 17 = 85 \] Since \( 108 \neq 85 \), the first pair is not a proportion.

  2. For the second pair: \( \frac{5}{6} = \frac{20}{18} \)

    Cross multiplying gives: \[ 5 \times 18 = 90 \] \[ 6 \times 20 = 120 \] Since \( 90 \neq 120 \), the second pair is not a proportion either.

In conclusion, neither of the given pairs of fractions is a proportion.

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