# How do you know if the pair 4/2 and 20/6 form a proportion?

Jan 20, 2018

If the two fractions equivalent

#### Explanation:

To see if there are equivalent reduce both to prime numbers. If the resulting fractions are the same the two fractions are equivalent.

$\frac{4}{2} = \frac{2}{1}$ $\frac{20}{6} = \frac{10}{3}$ so the two fractions are not equivalent.

Another way is to make the fractions equivalent by finding a common denominator. Multiply both sides by factors to reach a common denominator of 6.

$\frac{4 \times 3}{2 \times 3} = \frac{20 \times 1}{6 \times 1}$ This gives

$\frac{12}{6} = \frac{20}{6}$ The two fractions are not equal so the fractions are not equivalent.