Solve 45/8-22/8

$$4 \frac { 5 } { 8 } - 2 \frac { 2 } { 8 }$$

Evaluate

$$\frac{19}{8}=2.375$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+5}{8}-\frac{2\times 8+2}{8}$$

Add 32 and 5 to get 37.

$$\frac{37}{8}-\frac{2\times 8+2}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{37}{8}-\frac{16+2}{8}$$

Add 16 and 2 to get 18.

$$\frac{37}{8}-\frac{18}{8}$$

Since \frac{37}{8} and \frac{18}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-18}{8}$$

Subtract 18 from 37 to get 19.

$$\frac{19}{8}$$

Factor

$$\frac{19}{2 ^ {3}} = 2\frac{3}{8} = 2.375$$