Solve 40/frac{4{5}}*8div3/9*15

$$\frac{ 40 }{ \frac{ 4 }{ 5 } } \times 8 \div \frac{ 3 }{ 9 } \times 15$$

Evaluate

$$18000$$

Solution Steps

Divide 40 by \frac{4}{5} by multiplying 40 by the reciprocal of \frac{4}{5}.

$$\frac{40\times \frac{5}{4}\times 8}{\frac{3}{9}}\times 15$$

Express 40\times \frac{5}{4} as a single fraction.

$$\frac{\frac{40\times 5}{4}\times 8}{\frac{3}{9}}\times 15$$

Multiply 40 and 5 to get 200.

$$\frac{\frac{200}{4}\times 8}{\frac{3}{9}}\times 15$$

Divide 200 by 4 to get 50.

$$\frac{50\times 8}{\frac{3}{9}}\times 15$$

Multiply 50 and 8 to get 400.

$$\frac{400}{\frac{3}{9}}\times 15$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{400}{\frac{1}{3}}\times 15$$

Divide 400 by \frac{1}{3} by multiplying 400 by the reciprocal of \frac{1}{3}.

$$400\times 3\times 15$$

Multiply 400 and 3 to get 1200.

$$1200\times 15$$

Multiply 1200 and 15 to get 18000.

$$18000$$

Factor

$$2^{4}\times 3^{2}\times 5^{3}$$