Which ratio forms a proportion with Start Fraction 20 over 30 End Fraction? Use equivalent ratios to test each ratio.

Answer 1

To form a proportion with the ratio Start Fraction 20 over 30, we can use equivalent ratios.

Let's test each ratio:

1. Start Fraction 20 over 30 equals Start Fraction 2 over 3 End Fraction

If we multiply both the numerator and denominator of Start Fraction 2 over 3 by 10, we get Start Fraction 20 over 30, which means this ratio forms a proportion with Start Fraction 20 over 30.

2. Start Fraction 20 over 30 equals Start Fraction 4 over 6 End Fraction

If we simplify Start Fraction 4 over 6, we get Start Fraction 2 over 3, which means this ratio forms a proportion with Start Fraction 20 over 30.

3. Start Fraction 20 over 30 equals Start Fraction 1 over 2 End Fraction

If we multiply both the numerator and the denominator of Start Fraction 1 over 2 by 20, we get Start Fraction 20 over 40, which is not equivalent to Start Fraction 20 over 30. Therefore, this ratio does not form a proportion with Start Fraction 20 over 30.

Thus, the ratios Start Fraction 2 over 3 End Fraction and Start Fraction 4 over 6 End Fraction both form a proportion with Start Fraction 20 over 30.