## Basic College Mathematics (10th Edition)

$\frac{11}{16}$
$\frac{1}{4}+\frac{1}{8}+\frac{5}{16}$ now the least common multiple of 4, 8; 16 is 16. so multiply the nominator and denominator of first fraction with 4 and second fraction by 2. $\frac{1\times4}{4\times4}+\frac{1\times2}{8\times2}+\frac{5}{16}$ = $\frac{4}{16}+\frac{2}{16}+\frac{5}{16}$ Add numerators, as all fractions have same denominator = $\frac{4+2+5}{16}$ = $\frac{11}{16}$ It's the lowest term.