Question

Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio?

Answer 1

3:4 = 6:8

$\frac{3}{4} = \frac{6}{8}$


The same principle is used with fractions. The identity property of multiplication states that any number times 1 is the same number. Since $\frac{2}{2}$ = 1, the fraction/ratio does not change in value.