Explain why the ratios 5:7 and 14:15 are not equivalent

See below.

Step-by-step explanation:

Ratios work like fractions. First we write the two ratios as fractions.

5/7 and 14/15

We can find a common denominator for these two ratios.

The LCD of the fractions is 7 * 15 = 105

Since 105/7 = 15, we multiply 15 * 5 = 75 to find the numerator.

5/7 = 75/105

Since 105/15 = 7, we multiply 7 * 14 = 98 to find the numerator.

14/15 = 98/105

75/105 is not equal to 98/105, so 5/7 is not equal to 98/105