Solve 5/16+3/8*2

$$\frac { 5 } { 16 } + \frac { 3 } { 8 } \times 2$$

Evaluate

$$\frac{17}{16}=1.0625$$

Solution Steps

Express \frac{3}{8}\times 2 as a single fraction.

$$\frac{5}{16}+\frac{3\times 2}{8}$$

Multiply 3 and 2 to get 6.

$$\frac{5}{16}+\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{16}+\frac{3}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{5}{16} and \frac{3}{4} to fractions with denominator 16.

$$\frac{5}{16}+\frac{12}{16}$$

Since \frac{5}{16} and \frac{12}{16} have the same denominator, add them by adding their numerators.

$$\frac{5+12}{16}$$

Add 5 and 12 to get 17.

$$\frac{17}{16}$$

Factor

$$\frac{17}{2 ^ {4}} = 1\frac{1}{16} = 1.0625$$