Solve 2/8+3/4+5/16

$$\frac { 2 } { 8 } + \frac { 3 } { 4 } + \frac { 5 } { 16 }$$

Evaluate

$$\frac{21}{16}=1.3125$$

Solution Steps

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

$$\frac{1}{4}+\frac{3}{4}+\frac{5}{16}$$

Since \frac{1}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{4}+\frac{5}{16}$$

Add 1 and 3 to get 4.

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

Divide 4 by 4 to get 1.

$$1+\frac{5}{16}$$

Convert 1 to fraction \frac{16}{16}.

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

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

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

Add 16 and 5 to get 21.

$$\frac{21}{16}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {4}} = 1\frac{5}{16} = 1.3125$$