Chapter 11, Problem 1GR

To determine

Find the sum $\frac{6}{5}+\frac{5}{6}$

Answer to Problem 1GR

  $\frac{6}{5}+\frac{5}{6}=2\frac{1}{30}$

Explanation of Solution

Given:

The expression: $\frac{6}{5}+\frac{5}{6}$

Concept Used:

Find the LCM of the denominators and write each fraction with denominator as LCM of the numbers and add the numerators, simplify if necessary.

Calculation:

LCM of 5 and 6 is 30. Make both the fraction with denominator as 30.

  $\frac{6}{5}+\frac{5}{6}=\frac{36}{30}+\frac{25}{30}=\frac{36+25}{30}=\frac{61}{30}=2\frac{1}{30}$

Thus, $\frac{6}{5}+\frac{5}{6}=2\frac{1}{30}$