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\frac{5}{16}+\frac{3\times 2}{8}
Express \frac{3}{8}\times 2 as a single fraction.
\frac{5}{16}+\frac{6}{8}
Multiply 3 and 2 to get 6.
\frac{5}{16}+\frac{3}{4}
Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.
\frac{5}{16}+\frac{12}{16}
Least common multiple of 16 and 4 is 16. Convert \frac{5}{16} and \frac{3}{4} to fractions with denominator 16.
\frac{5+12}{16}
Since \frac{5}{16} and \frac{12}{16} have the same denominator, add them by adding their numerators.
\frac{17}{16}
Add 5 and 12 to get 17.