Solve 8500*100/12*3frac{1{7}}=

$$\frac { 8500 \times 100 } { 12 \times 3 \frac { 1 } { 7 } } =$$

Evaluate

$$\frac{743750}{33}\approx 22537.878787879$$

Solution Steps

Multiply 8500 and 100 to get 850000.

$$\frac{850000}{12\times \frac{3\times 7+1}{7}}$$

Multiply 3 and 7 to get 21.

$$\frac{850000}{12\times \frac{21+1}{7}}$$

Add 21 and 1 to get 22.

$$\frac{850000}{12\times \frac{22}{7}}$$

Express 12\times \frac{22}{7} as a single fraction.

$$\frac{850000}{\frac{12\times 22}{7}}$$

Multiply 12 and 22 to get 264.

$$\frac{850000}{\frac{264}{7}}$$

Divide 850000 by \frac{264}{7} by multiplying 850000 by the reciprocal of \frac{264}{7}.

$$850000\times \frac{7}{264}$$

Express 850000\times \frac{7}{264} as a single fraction.

$$\frac{850000\times 7}{264}$$

Multiply 850000 and 7 to get 5950000.

$$\frac{5950000}{264}$$

Reduce the fraction \frac{5950000}{264} to lowest terms by extracting and canceling out 8.

$$\frac{743750}{33}$$

Factor

$$\frac{2 \cdot 5 ^ {5} \cdot 7 \cdot 17}{3 \cdot 11} = 22537\frac{29}{33} = 22537.878787878788$$