Solve 50*213/frac{6272{32*60}}=

$$\frac { 50 \times 213 } { \frac { 6272 } { 32 \times 60 } } =$$

Evaluate

$$\frac{159750}{49}\approx 3260.204081633$$

Solution Steps

Multiply 50 and 213 to get 10650.

$$\frac{10650}{\frac{6272}{32\times 60}}$$

Multiply 32 and 60 to get 1920.

$$\frac{10650}{\frac{6272}{1920}}$$

Reduce the fraction \frac{6272}{1920} to lowest terms by extracting and canceling out 128.

$$\frac{10650}{\frac{49}{15}}$$

Divide 10650 by \frac{49}{15} by multiplying 10650 by the reciprocal of \frac{49}{15}.

$$10650\times \frac{15}{49}$$

Express 10650\times \frac{15}{49} as a single fraction.

$$\frac{10650\times 15}{49}$$

Multiply 10650 and 15 to get 159750.

$$\frac{159750}{49}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 5 ^ {3} \cdot 71}{7 ^ {2}} = 3260\frac{10}{49} = 3260.204081632653$$