Solve (15-(20*8.5div28.5*15div20))*2.5*6/8.5

$$(15-(20 \times 8.5 \div 28.5 \times 15 \div 20)) \times \frac{ 2.5 \times 6 }{ 8.5 }$$

Evaluate

$$\frac{6000}{323}\approx 18.575851393$$

Solution Steps

Multiply 20 and 8.5 to get 170.

$$\left(15-\frac{\frac{170}{28.5}\times 15}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Expand \frac{170}{28.5} by multiplying both numerator and the denominator by 10.

$$\left(15-\frac{\frac{1700}{285}\times 15}{20}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\left(15-\frac{\frac{340}{57}\times 15}{20}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\left(15-\frac{\frac{340\times 15}{57}}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Multiply 340 and 15 to get 5100.

$$\left(15-\frac{\frac{5100}{57}}{20}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\left(15-\frac{\frac{1700}{19}}{20}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\left(15-\frac{1700}{19\times 20}\right)\times \frac{2.5\times 6}{8.5}$$

Multiply 19 and 20 to get 380.

$$\left(15-\frac{1700}{380}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\left(15-\frac{85}{19}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\left(\frac{285}{19}-\frac{85}{19}\right)\times \frac{2.5\times 6}{8.5}$$

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

$$\frac{285-85}{19}\times \frac{2.5\times 6}{8.5}$$

Subtract 85 from 285 to get 200.

$$\frac{200}{19}\times \frac{2.5\times 6}{8.5}$$

Multiply 2.5 and 6 to get 15.

$$\frac{200}{19}\times \frac{15}{8.5}$$

Expand \frac{15}{8.5} by multiplying both numerator and the denominator by 10.

$$\frac{200}{19}\times \frac{150}{85}$$

Reduce the fraction \frac{150}{85} to lowest terms by extracting and canceling out 5.

$$\frac{200}{19}\times \frac{30}{17}$$

Multiply \frac{200}{19} times \frac{30}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200\times 30}{19\times 17}$$

Do the multiplications in the fraction \frac{200\times 30}{19\times 17}.

$$\frac{6000}{323}$$

Factor

$$\frac{3 \cdot 2 ^ {4} \cdot 5 ^ {3}}{17 \cdot 19} = 18\frac{186}{323} = 18.575851393188856$$