Question

perform the indicated operation.
16\frac{7}{8}

• 3\frac{15}{16}

the answer is
(simplify your answer. type an integer, proper fraction, or mixed number.)

Explanation:

Step1: Convert mixed numbers to improper fractions

$16\frac{7}{8}=\frac{16\times8 + 7}{8}=\frac{128+7}{8}=\frac{135}{8}$
$3\frac{15}{16}=\frac{3\times16 + 15}{16}=\frac{48+15}{16}=\frac{63}{16}$

Step2: Find a common - denominator

The common denominator of 8 and 16 is 16. So, $\frac{135}{8}=\frac{135\times2}{8\times2}=\frac{270}{16}$

Step3: Subtract the fractions

$\frac{270}{16}-\frac{63}{16}=\frac{270 - 63}{16}=\frac{207}{16}$

Step4: Convert back to a mixed number

$207\div16 = 12$ with a remainder of 15. So, $\frac{207}{16}=12\frac{15}{16}$

Answer:

$12\frac{15}{16}$