Solve 5040/frac{60{1000}*40}

$$\frac { 5040 } { \frac { 60 } { 1000 } \times 40 }$$

Evaluate

$$2100$$

Solution Steps

Reduce the fraction \frac{60}{1000} to lowest terms by extracting and canceling out 20.

$$\frac{5040}{\frac{3}{50}\times 40}$$

Express \frac{3}{50}\times 40 as a single fraction.

$$\frac{5040}{\frac{3\times 40}{50}}$$

Multiply 3 and 40 to get 120.

$$\frac{5040}{\frac{120}{50}}$$

Reduce the fraction \frac{120}{50} to lowest terms by extracting and canceling out 10.

$$\frac{5040}{\frac{12}{5}}$$

Divide 5040 by \frac{12}{5} by multiplying 5040 by the reciprocal of \frac{12}{5}.

$$5040\times \frac{5}{12}$$

Express 5040\times \frac{5}{12} as a single fraction.

$$\frac{5040\times 5}{12}$$

Multiply 5040 and 5 to get 25200.

$$\frac{25200}{12}$$

Divide 25200 by 12 to get 2100.

$$2100$$

Factor

$$2^{2}\times 3\times 5^{2}\times 7$$