Question

To determine whether 2126.5

and 58158
are in a proportional relationship, write each ratio as a fraction in simplest form.

What is 2126.5
as a fraction in simplest form?

Enter your answer in the box.

Answer 1

• both are 5/13
• the relationship is proportional

Explanation:

You want to know if the fractions (2 1/2)/(6.5) and (5/8)/(1 5/8) are in a proportional relationship, and the simplest form of each.

Fractions

Equivalent fractions can be found by multiplying numerator and denominator by the same number.

(2 1/2)/(6.5) = 2·(2 1/2)/(2·6.5) = 5/13

(5/8)/(1 5/8) = 8(5/8)/(8·(1 5/8)) = 5/(8+5) = 5/13

Both fractions are equivalent to 5/13, so their relationship is proportional.