Solve 60div(75%-60%)=

$$60 \div (75 \% -60 \% )=$$

Evaluate

$$400$$

Solution Steps

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{60}{\frac{3}{4}-\frac{60}{100}}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$\frac{60}{\frac{3}{4}-\frac{3}{5}}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{60}{\frac{15}{20}-\frac{12}{20}}$$

Since \frac{15}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60}{\frac{15-12}{20}}$$

Subtract 12 from 15 to get 3.

$$\frac{60}{\frac{3}{20}}$$

Divide 60 by \frac{3}{20} by multiplying 60 by the reciprocal of \frac{3}{20}.

$$60\times \frac{20}{3}$$

Express 60\times \frac{20}{3} as a single fraction.

$$\frac{60\times 20}{3}$$

Multiply 60 and 20 to get 1200.

$$\frac{1200}{3}$$

Divide 1200 by 3 to get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$