Question

perform the indicated operation
$7\frac{1}{8}-2\frac{2}{3}$
$7\frac{1}{8}-2\frac{2}{3}=\square$
(type an integer, fraction, or mixed number.)

Explanation:

Step1: Convert mixed numbers to improper fractions

\(7\frac{1}{8}=\frac{7\times8 + 1}{8}=\frac{57}{8}\)
\(2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}\)

Step2: Find a common denominator (24) and subtract

\(\frac{57}{8}-\frac{8}{3}=\frac{57\times3}{8\times3}-\frac{8\times8}{3\times8}=\frac{171}{24}-\frac{64}{24}=\frac{171 - 64}{24}=\frac{107}{24}\)

Step3: Convert back to mixed number

\(\frac{107}{24}=4\frac{11}{24}\)

Answer:

\(4\frac{11}{24}\)