Solve 57/8-35/8

$$5 \frac { 7 } { 8 } - 3 \frac { 5 } { 8 }$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+7}{8}-\frac{3\times 8+5}{8}$$

Add 40 and 7 to get 47.

$$\frac{47}{8}-\frac{3\times 8+5}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{47}{8}-\frac{24+5}{8}$$

Add 24 and 5 to get 29.

$$\frac{47}{8}-\frac{29}{8}$$

Since \frac{47}{8} and \frac{29}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-29}{8}$$

Subtract 29 from 47 to get 18.

$$\frac{18}{8}$$

Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$