Solve 57/8-23/4=

$$5 \frac { 7 } { 8 } - 2 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{25}{8}=3.125$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+7}{8}-\frac{2\times 4+3}{4}$$

Add 40 and 7 to get 47.

$$\frac{47}{8}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{47}{8}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{47}{8}-\frac{11}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{47}{8} and \frac{11}{4} to fractions with denominator 8.

$$\frac{47}{8}-\frac{22}{8}$$

Since \frac{47}{8} and \frac{22}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-22}{8}$$

Subtract 22 from 47 to get 25.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$