Solve (50div60+2)*80div100*60-120

$$(50 \div 60+2) \times 80 \div 100 \times 60-120$$

Evaluate

$$16$$

Solution Steps

Reduce the fraction \frac{50}{60} to lowest terms by extracting and canceling out 10.

$$\frac{\left(\frac{5}{6}+2\right)\times 80}{100}\times 60-120$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{\left(\frac{5}{6}+\frac{12}{6}\right)\times 80}{100}\times 60-120$$

Since \frac{5}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+12}{6}\times 80}{100}\times 60-120$$

Add 5 and 12 to get 17.

$$\frac{\frac{17}{6}\times 80}{100}\times 60-120$$

Express \frac{17}{6}\times 80 as a single fraction.

$$\frac{\frac{17\times 80}{6}}{100}\times 60-120$$

Multiply 17 and 80 to get 1360.

$$\frac{\frac{1360}{6}}{100}\times 60-120$$

Reduce the fraction \frac{1360}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{680}{3}}{100}\times 60-120$$

Express \frac{\frac{680}{3}}{100} as a single fraction.

$$\frac{680}{3\times 100}\times 60-120$$

Multiply 3 and 100 to get 300.

$$\frac{680}{300}\times 60-120$$

Reduce the fraction \frac{680}{300} to lowest terms by extracting and canceling out 20.

$$\frac{34}{15}\times 60-120$$

Express \frac{34}{15}\times 60 as a single fraction.

$$\frac{34\times 60}{15}-120$$

Multiply 34 and 60 to get 2040.

$$\frac{2040}{15}-120$$

Divide 2040 by 15 to get 136.

$$136-120$$

Subtract 120 from 136 to get 16.

$$16$$

Factor

$$2^{4}$$