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 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 10/1 and 18/2 form a proportion?

  • yes
  • no
  • To determine whether the two ratios 10/1 and 18/2 form a proportion, you can compare them using a common denominator.
  • The denominators are 1 and 2. You can use 2 as the common denominator since 2 is a multiple of 1.
  • Write 10/1 with a denominator of 2.
  • 10/1 = 10.2 / 1.2 = 20/2
  • So, 10/1 and 18/2 are not equal.
  • This means that the ratios 10/1 and 18/2 do not form a proportion.

👉 Do the ratios 2/1 and 6/3 form a proportion?

  • yes
  • no
  • To determine whether the two ratios 2/1 and 6/3 form a proportion, you can compare them using a common denominator.
  • The denominators are 1 and 3. You can use 3 as the common denominator since 3 is a multiple of 1.
  • Write 2/1 with a denominator of 3.
  • 2/1 = 2.3 / 1.3 = 6/3
  • So, 2/1 and 6/3 are equal.
  • This means that the ratios 2/1 and 6/3 form a proportion.

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