Question

Tell whether the ratios form a proportion.
25/16 , 65/56

Answer 1

The two ratios given: 25/15 and 65/56 do not form a proportion.

Explanation:

A proportion is formed when two ratios (or fractions) are equal. When you set the two ratios equal to each other:

`(25)/(56) = (65)/(56)`

You can then determine if they are equal by a few different methods. (1) You can cross-multiply the numbers and see if they are equal:

25 x 56 = 16 x 65 or 1040 ≠ 1400

You can also see if the numerators and denominators can be divided to form a common factor:

65 ÷ 25 = 2.6 and 56 ÷ 16 = 3.5

Since neither the products of cross-multiplication or the factors by division are equal, these two ratios do not form a proportion.