Identify equivalent ratios

Key Notes :

✈️ Equivalent ratios have the same value.

✈️ To determine whether two ratios are equivalent, write them as fractions. If the fractions are equal, the ratios are equivalent.

Learn with an example

👉 Are the ratios 4:2 and 12:6 equivalent?

  • yes
  • no

First, write the ratios as fractions.

The first number is the numerator. The second number is the denominator.

You can compare the fractions using a common denominator.

The denominators are 2 and 6. You can use 6 as the common denominator since 6 is a multiple of 2.

Write 4/2 with a denominator of 6.

So, 4/2 and 12/6 are equal.

This means that the ratios 4:2 and 12:6 are equivalent.

👉 Are the ratios 15:5 and 3:1 equivalent?

  • yes
  • no

First, write the ratios as fractions.

The first number is the numerator. The second number is the denominator.

You can compare the fractions using a common denominator…

The denominators are 5 and 1. You can use 5 as the common denominator since 5 is a multiple of 1.

Write 3/1 with a denominator of 5.

So, 15/5 and 3/1 are equal.

This means that the ratios 15:5 and 3:1 are equivalent.

✈️ Are the ratios 1:2 and 7:14 equivalent?

  • yes
  • no

First, write the ratios as fractions.

The first number is the numerator. The second number is the denominator.

You can compare the fractions 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 12 with a denominator of 14.

So, 1/2 and 7/14 are equal.

This means that the ratios 1:2 and 7:14 are equivalent.

Let’s practice! 🖊️