Solve 160*(1/8-1/4)

$$160 \times ( \frac{ 1 }{ 8 } - \frac{ 1 }{ 4 } )$$

Evaluate

$$-20$$

Solution Steps

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

$$160\left(\frac{1}{8}-\frac{2}{8}\right)$$

Since \frac{1}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$160\times \frac{1-2}{8}$$

Subtract 2 from 1 to get -1.

$$160\left(-\frac{1}{8}\right)$$

Express 160\left(-\frac{1}{8}\right) as a single fraction.

$$\frac{160\left(-1\right)}{8}$$

Multiply 160 and -1 to get -160.

$$\frac{-160}{8}$$

Divide -160 by 8 to get -20.

$$-20$$

Factor

$$-20$$