Equivalent Ratios are similar to Equivalent Fractions. When we simplify two ratios and if they have same value, then they are called as Equivalent Ratios. Equivalent Ratios have different numbers but they represent same relation. For example, 1 : 3 is equivalent to 2 : 6 as they represent same fraction. This calculator calculates the ratios A : B and C : D and finds whether they are equal or not.

## How to Find Equivalent Ratios

For finding the equivalent ratios, we need to multiply or divide both the sides of the ratios by the same number.
Below are some examples of finding the equivalent ratios.

### Solved Examples

Question 1: Is the ratios 8 : 24 and 4 : 12 are equivalent ratios?
Solution:
Step 1: The ratios are $\frac{8}{24}$ and $\frac{4}{12}$

Step 2:    For first ratio, $\frac{8}{24}$

Multiply both numerator and denominator by 2,

$\frac{8\div 4}{24\div 4}$ = $\frac{2}{6}$ = $\frac{2\div 2}{6\div 2 }$ = $\frac{1}{3}$

Step 3:    For second ratio,     $\frac{4}{12}$

Multiply both numerator and denominator by 2,

$\frac{4\div 4}{12\div 4}$ = $\frac{1}{3}$

Step 4: Both the ratios have same fractions.

Therefore, they are equivalent ratios.

Question 2: Is the ratios 3 : 12 and 6 : 9 are equivalent ratios?
Solution:
Step 1: The ratios are $\frac{3}{12}$ and $\frac{6}{9}$

Step 2:   For First ratio, $\frac{3}{12}$

Multiply both numerator and denominator by 2,

$\frac{3\div 3}{12\div 3}$ = $\frac{1}{4}$

Step 3:   For Second ratio, $\frac{6}{9}$

Multiply both numerator and denominator by 2,

$\frac{6\div 3}{9\times 3}$ = $\frac{2}{3}$

Step 4: Both the ratios have different fractions.

Therefore, they are not equivalent ratios.

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