Solve 35/8-(23/4+1/8)

$$3 \frac { 5 } { 8 } - ( 2 \frac { 3 } { 4 } + \frac { 1 } { 8 } )$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+5}{8}-\left(\frac{2\times 4+3}{4}+\frac{1}{8}\right)$$

Add 24 and 5 to get 29.

$$\frac{29}{8}-\left(\frac{2\times 4+3}{4}+\frac{1}{8}\right)$$

Multiply 2 and 4 to get 8.

$$\frac{29}{8}-\left(\frac{8+3}{4}+\frac{1}{8}\right)$$

Add 8 and 3 to get 11.

$$\frac{29}{8}-\left(\frac{11}{4}+\frac{1}{8}\right)$$

Least common multiple of 4 and 8 is 8. Convert \frac{11}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{29}{8}-\left(\frac{22}{8}+\frac{1}{8}\right)$$

Since \frac{22}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{29}{8}-\frac{22+1}{8}$$

Add 22 and 1 to get 23.

$$\frac{29}{8}-\frac{23}{8}$$

Since \frac{29}{8} and \frac{23}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-23}{8}$$

Subtract 23 from 29 to get 6.

$$\frac{6}{8}$$

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

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$