Solve 75/8-53/8

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

Evaluate

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

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+5}{8}-\frac{5\times 8+3}{8}$$

Add 56 and 5 to get 61.

$$\frac{61}{8}-\frac{5\times 8+3}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{61}{8}-\frac{40+3}{8}$$

Add 40 and 3 to get 43.

$$\frac{61}{8}-\frac{43}{8}$$

Since \frac{61}{8} and \frac{43}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-43}{8}$$

Subtract 43 from 61 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

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