Solve 87/8-451/2

$$8 \frac { 7 } { 8 } - 45 \frac { 1 } { 2 }$$

Evaluate

$$-\frac{293}{8}=-36.625$$

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{64+7}{8}-\frac{45\times 2+1}{2}$$

Add 64 and 7 to get 71.

$$\frac{71}{8}-\frac{45\times 2+1}{2}$$

Multiply 45 and 2 to get 90.

$$\frac{71}{8}-\frac{90+1}{2}$$

Add 90 and 1 to get 91.

$$\frac{71}{8}-\frac{91}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{71}{8} and \frac{91}{2} to fractions with denominator 8.

$$\frac{71}{8}-\frac{364}{8}$$

Since \frac{71}{8} and \frac{364}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-364}{8}$$

Subtract 364 from 71 to get -293.

$$-\frac{293}{8}$$

Factor

$$-\frac{293}{8} = -36\frac{5}{8} = -36.625$$