Solve 1/4+2/16/frac{1{8}+2/8}=

$$\frac { \frac { 1 } { 4 } + \frac { 2 } { 16 } } { \frac { 1 } { 8 } + \frac { 2 } { 8 } } =$$

Evaluate

$$1$$

Solution Steps

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{4}+\frac{1}{8}}{\frac{1}{8}+\frac{2}{8}}$$

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{\frac{2}{8}+\frac{1}{8}}{\frac{1}{8}+\frac{2}{8}}$$

Since \frac{2}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+1}{8}}{\frac{1}{8}+\frac{2}{8}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{8}}{\frac{1}{8}+\frac{2}{8}}$$

Since \frac{1}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3}{8}}{\frac{1+2}{8}}$$

Add 1 and 2 to get 3.

$$\frac{\frac{3}{8}}{\frac{3}{8}}$$

Divide \frac{3}{8} by \frac{3}{8} to get 1.

$$1$$

Factor

$$1$$