Mrs. Stevenson has used 4 2-3 inches of string. She needs 1 6-7 inches more. How much string will Mrs. Stevenson have used when she is done?

Answer 1

4 2/3 inches is equivalent to 14/3 inches. 1 6/7 inches is equivalent to 13/7 inches.

In total Mrs. Stevenson requires 14/3 + 13/7 inches of string.

The least common denominator of 14/3 and 13/7 is 21. Setting both fractions to have 21 as the denominator we get 14/3 = 98/21 and 13/7 = 39/21.

98/21 + 39/21 = 137 / 21 = 6 11/21 inches.