Solve 83/8-21/4

$$8 \frac { 3 } { 8 } - 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{49}{8}=6.125$$

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{64+3}{8}-\frac{2\times 4+1}{4}$$

Add 64 and 3 to get 67.

$$\frac{67}{8}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{67}{8}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{67}{8}-\frac{9}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{67}{8} and \frac{9}{4} to fractions with denominator 8.

$$\frac{67}{8}-\frac{18}{8}$$

Since \frac{67}{8} and \frac{18}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-18}{8}$$

Subtract 18 from 67 to get 49.

$$\frac{49}{8}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3}} = 6\frac{1}{8} = 6.125$$