find each answer. 10. 5/9 + 8/9 11. 2 2/3 + 5 1/2 12. 11/12 - 2/3 13. 7/10 - 3/5 14. at the library, herb…

Explanation:

Step1: Identify the tasks and their times

Herb spent $\frac{1}{6}$ hour looking for a book, $\frac{1}{4}$ hour reading, and $\frac{1}{2}$ hour doing research.

Step2: Find a common - denominator

The common denominator of 6, 4, and 2 is 12.

Step3: Rewrite the fractions with the common denominator

$\frac{1}{6}=\frac{1\times2}{6\times2}=\frac{2}{12}$, $\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$, $\frac{1}{2}=\frac{1\times6}{2\times6}=\frac{6}{12}$.

Step4: Add the fractions

$\frac{2}{12}+\frac{3}{12}+\frac{6}{12}=\frac{2 + 3+6}{12}=\frac{11}{12}$.

Answer:

$\frac{11}{12}$ hour