Solve 71/2-1/4-11/8=

$$7 \frac { 1 } { 2 } - \frac { 1 } { 4 } - 1 \frac { 1 } { 8 } =$$

Evaluate

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

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}-\frac{1}{4}-\frac{1\times 8+1}{8}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}-\frac{1}{4}-\frac{1\times 8+1}{8}$$

Least common multiple of 2 and 4 is 4. Convert \frac{15}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{30}{4}-\frac{1}{4}-\frac{1\times 8+1}{8}$$

Since \frac{30}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-1}{4}-\frac{1\times 8+1}{8}$$

Subtract 1 from 30 to get 29.

$$\frac{29}{4}-\frac{1\times 8+1}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{29}{4}-\frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{29}{4}-\frac{9}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{29}{4} and \frac{9}{8} to fractions with denominator 8.

$$\frac{58}{8}-\frac{9}{8}$$

Since \frac{58}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-9}{8}$$

Subtract 9 from 58 to get 49.

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

Factor

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