Do the ratios form a proportion?

Key notes:

Two equivalent ratios form a proportion.

Equivalent ratios have the same value.

Learn with an example

👉 Do the ratios 3/2 and 15/10  form a proportion?

  • yes
  • no

To determine whether the two ratios 3/2 and 15/10 form a proportion, you can compare them using a common denominator.

The denominators are 2 and 10. You can use 10 as the common denominator since 10 is a multiple of 2.

Write 3/2 with a denominator of 10.

3/2 = 3 . 5 / 2 .5 = 15 / 10

So, 3/2 and 15/10 are equal.

This means that the ratios form a proportion.

👉 Do the ratios 1/2 and 7/14 form a proportion?

  • yes
  • no

To determine whether the two ratios 1/2 and 7/14 form a proportion, you can compare them using a common denominator.

The denominators are 2 and 14. You can use 14 as the common denominator since 14 is a multiple of 2.

Write 1/2 with a denominator of 14.

1/2 = 1 . 7 / 2 . 7 = 7/14

So,  1/2 and 7/14 are equal.

This means that the ratios 1/2 and 7/14 form a proportion.

👉 Do the ratios 2/1 and 16/8 form a proportion?

  • yes
  • no

To determine whether the two ratios 2/1 and 16/8 form a proportion, you can compare them using a common denominator.

The denominators are 1 and 8. You can use 8 as the common denominator since 8 is a multiple of 1.

Write 2/1 with a denominator of 8.

2/1 = 2 . 8 / 1 . 8 = 16/8

So, 2/1 and 16/8  are equal.

This means that the ratios 2/1 and 16/8 form a proportion.

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