Solve 60div(1+20%)+60div(1-20%)=

$$60 \div (1+20 \% )+60 \div (1-20 \% )=$$

Evaluate

$$125$$

Solution Steps

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

$$\frac{60}{1+\frac{1}{5}}+\frac{60}{1-\frac{20}{100}}$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{60}{\frac{5}{5}+\frac{1}{5}}+\frac{60}{1-\frac{20}{100}}$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{60}{\frac{5+1}{5}}+\frac{60}{1-\frac{20}{100}}$$

Add 5 and 1 to get 6.

$$\frac{60}{\frac{6}{5}}+\frac{60}{1-\frac{20}{100}}$$

Divide 60 by \frac{6}{5} by multiplying 60 by the reciprocal of \frac{6}{5}.

$$60\times \frac{5}{6}+\frac{60}{1-\frac{20}{100}}$$

Express 60\times \frac{5}{6} as a single fraction.

$$\frac{60\times 5}{6}+\frac{60}{1-\frac{20}{100}}$$

Multiply 60 and 5 to get 300.

$$\frac{300}{6}+\frac{60}{1-\frac{20}{100}}$$

Divide 300 by 6 to get 50.

$$50+\frac{60}{1-\frac{20}{100}}$$

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

$$50+\frac{60}{1-\frac{1}{5}}$$

Convert 1 to fraction \frac{5}{5}.

$$50+\frac{60}{\frac{5}{5}-\frac{1}{5}}$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$50+\frac{60}{\frac{5-1}{5}}$$

Subtract 1 from 5 to get 4.

$$50+\frac{60}{\frac{4}{5}}$$

Divide 60 by \frac{4}{5} by multiplying 60 by the reciprocal of \frac{4}{5}.

$$50+60\times \frac{5}{4}$$

Express 60\times \frac{5}{4} as a single fraction.

$$50+\frac{60\times 5}{4}$$

Multiply 60 and 5 to get 300.

$$50+\frac{300}{4}$$

Divide 300 by 4 to get 75.

$$50+75$$

Add 50 and 75 to get 125.

$$125$$

Factor

$$5^{3}$$