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

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

Evaluate

$$100$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

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

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

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

Subtract 1 from 8 to get 7.

$$160\left(\frac{7}{8}-\frac{1}{4}\right)$$

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{1}{4} to fractions with denominator 8.

$$160\left(\frac{7}{8}-\frac{2}{8}\right)$$

Since \frac{7}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$160\times \frac{7-2}{8}$$

Subtract 2 from 7 to get 5.

$$160\times \frac{5}{8}$$

Express 160\times \frac{5}{8} as a single fraction.

$$\frac{160\times 5}{8}$$

Multiply 160 and 5 to get 800.

$$\frac{800}{8}$$

Divide 800 by 8 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$