Solve 17/8-(1/2+1/4)

$$1 \frac { 7 } { 8 } - ( \frac { 1 } { 2 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+7}{8}-\left(\frac{1}{2}+\frac{1}{4}\right)$$

Add 8 and 7 to get 15.

$$\frac{15}{8}-\left(\frac{1}{2}+\frac{1}{4}\right)$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{15}{8}-\left(\frac{2}{4}+\frac{1}{4}\right)$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{15}{8}-\frac{2+1}{4}$$

Add 2 and 1 to get 3.

$$\frac{15}{8}-\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{15}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{15}{8}-\frac{6}{8}$$

Since \frac{15}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-6}{8}$$

Subtract 6 from 15 to get 9.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$