Solve 210*20/frac{112{12}56}

$$210 \times \frac{ 20 }{ \frac{ 112 }{ 12 } 56 }$$

Evaluate

$$\frac{225}{28}\approx 8.035714286$$

Solution Steps

Reduce the fraction \frac{112}{12} to lowest terms by extracting and canceling out 4.

$$210\times \frac{20}{\frac{28}{3}\times 56}$$

Express \frac{28}{3}\times 56 as a single fraction.

$$210\times \frac{20}{\frac{28\times 56}{3}}$$

Multiply 28 and 56 to get 1568.

$$210\times \frac{20}{\frac{1568}{3}}$$

Divide 20 by \frac{1568}{3} by multiplying 20 by the reciprocal of \frac{1568}{3}.

$$210\times 20\times \frac{3}{1568}$$

Express 20\times \frac{3}{1568} as a single fraction.

$$210\times \frac{20\times 3}{1568}$$

Multiply 20 and 3 to get 60.

$$210\times \frac{60}{1568}$$

Reduce the fraction \frac{60}{1568} to lowest terms by extracting and canceling out 4.

$$210\times \frac{15}{392}$$

Express 210\times \frac{15}{392} as a single fraction.

$$\frac{210\times 15}{392}$$

Multiply 210 and 15 to get 3150.

$$\frac{3150}{392}$$

Reduce the fraction \frac{3150}{392} to lowest terms by extracting and canceling out 14.

$$\frac{225}{28}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {2} \cdot 7} = 8\frac{1}{28} = 8.035714285714286$$