Question

Use a table to find three equivalent ratios for the ratio 11 to 12. 11 12 13 14 12 24 36 48 The ratios 11 to 12, 12 to 24, 13 to 36, and 14 to 48 are equivalent. 11 11 11 11 12 24 36 48 The ratios 11 to 12, 11 to 24, 11 to 36, and 11 to 48 are equivalent. 11 22 33 44 12 24 36 48 The ratios 11 to 12, 22 to 24, 33 to 36, and 44 to 48 are equivalent. 11 12 13 14 12 13 14 15 The ratios 11 to 12, 12 to 13, 13 to 14, and 14 to 15 are equivalent.​

Answer 1

The three equivalent ratios to the ratios 11 to 12 are;

22 to 24, 33 to 36 and 44 to 48

The equivalent ratios above can be obtained using the following steps

Equivalent ratios are ratios that are a multiple of a base ratio and a specified value

The number 11 is a prime number, therefore, the ratio 11 to 12 can be used to represent the base ratio

The equivalent ratios to 11 to 12 are ratios that are a multiple of the base ratio 11 to 12, which can be found as follows;

Multiplying the base ratio by 2, we get the ratio;

11 × 2 to 12 × 2 = 22 to 24

Multiplying the base ratio by 3, we get the ratio;

11 × 3 to 12 × 3 = 33 to 36

Multiplying the base ratio by 4, we get the ratio;

11 × 4 to 12 × 4 = 44 to 48

The three equivalent ratios to the ratio 11 to 12 are therefore;

22 to 24, 33 to 36, and 44 to 48