Solve 91/8-45/8

$$9 \frac { 1 } { 8 } - 4 \frac { 5 } { 8 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+1}{8}-\frac{4\times 8+5}{8}$$

Add 72 and 1 to get 73.

$$\frac{73}{8}-\frac{4\times 8+5}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{73}{8}-\frac{32+5}{8}$$

Add 32 and 5 to get 37.

$$\frac{73}{8}-\frac{37}{8}$$

Since \frac{73}{8} and \frac{37}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{73-37}{8}$$

Subtract 37 from 73 to get 36.

$$\frac{36}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$