Solve (15-(20*85div285*15div20))*6

$$(15-(20 \times 85 \div 285 \times 15 \div 20)) \times 6$$

Evaluate

$$\frac{1200}{19}\approx 63.157894737$$

Solution Steps

Multiply 20 and 85 to get 1700.

$$\left(15-\frac{\frac{1700}{285}\times 15}{20}\right)\times 6$$

Reduce the fraction \frac{1700}{285} to lowest terms by extracting and canceling out 5.

$$\left(15-\frac{\frac{340}{57}\times 15}{20}\right)\times 6$$

Express \frac{340}{57}\times 15 as a single fraction.

$$\left(15-\frac{\frac{340\times 15}{57}}{20}\right)\times 6$$

Multiply 340 and 15 to get 5100.

$$\left(15-\frac{\frac{5100}{57}}{20}\right)\times 6$$

Reduce the fraction \frac{5100}{57} to lowest terms by extracting and canceling out 3.

$$\left(15-\frac{\frac{1700}{19}}{20}\right)\times 6$$

Express \frac{\frac{1700}{19}}{20} as a single fraction.

$$\left(15-\frac{1700}{19\times 20}\right)\times 6$$

Multiply 19 and 20 to get 380.

$$\left(15-\frac{1700}{380}\right)\times 6$$

Reduce the fraction \frac{1700}{380} to lowest terms by extracting and canceling out 20.

$$\left(15-\frac{85}{19}\right)\times 6$$

Convert 15 to fraction \frac{285}{19}.

$$\left(\frac{285}{19}-\frac{85}{19}\right)\times 6$$

Since \frac{285}{19} and \frac{85}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{285-85}{19}\times 6$$

Subtract 85 from 285 to get 200.

$$\frac{200}{19}\times 6$$

Express \frac{200}{19}\times 6 as a single fraction.

$$\frac{200\times 6}{19}$$

Multiply 200 and 6 to get 1200.

$$\frac{1200}{19}$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {2}}{19} = 63\frac{3}{19} = 63.1578947368421$$