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Equivalent ratios
If two ratios have the same value when simplified, then they are called Equivalent Ratios. In other words, two ratios are equivalent if their cross products are equal.

Are these ratios equivalent?

3 to 5 and 6 to 10

Write the ratios as fractions.

$\frac{3}{5}$ and $\frac{6}{10}$

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

 3 × 10 ? = 5 × 6 30 = 30

The cross products are equal, so the ratios are equivalent.