Solve 1/8-5/12(15)

$$\frac { 1 } { 8 } - \frac { 5 } { 12 } ( 15 )$$

Evaluate

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

Solution Steps

Express \frac{5}{12}\times 15 as a single fraction.

$$\frac{1}{8}-\frac{5\times 15}{12}$$

Multiply 5 and 15 to get 75.

$$\frac{1}{8}-\frac{75}{12}$$

Reduce the fraction \frac{75}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}-\frac{25}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{1}{8} and \frac{25}{4} to fractions with denominator 8.

$$\frac{1}{8}-\frac{50}{8}$$

Since \frac{1}{8} and \frac{50}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-50}{8}$$

Subtract 50 from 1 to get -49.

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

Factor

$$-\frac{49}{8} = -6\frac{1}{8} = -6.125$$