Question

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

Answer 1

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.

`4/2 = 2/1` `20/6 = 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.

`(4 xx 3)/( 2 xx 3)= (20 xx 1)/( 6 xx 1)` This gives

`12/6 = 20/6` The two fractions are not equal so the fractions are not equivalent.