Solve 112/3*24/7/12frac{1{7}*91/3}

$$\frac { 11 \frac { 2 } { 3 } \cdot 2 \frac { 4 } { 7 } } { 12 \frac { 1 } { 7 } \cdot 9 \frac { 1 } { 3 } }$$

Evaluate

$$\frac{9}{34}\approx 0.264705882$$

Solution Steps

Multiply 11 and 3 to get 33.

$$\frac{\frac{33+2}{3}\times \frac{2\times 7+4}{7}}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Add 33 and 2 to get 35.

$$\frac{\frac{35}{3}\times \frac{2\times 7+4}{7}}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Multiply 2 and 7 to get 14.

$$\frac{\frac{35}{3}\times \frac{14+4}{7}}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Add 14 and 4 to get 18.

$$\frac{\frac{35}{3}\times \frac{18}{7}}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Multiply \frac{35}{3} times \frac{18}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35\times 18}{3\times 7}}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{35\times 18}{3\times 7}.

$$\frac{\frac{630}{21}}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Divide 630 by 21 to get 30.

$$\frac{30}{\frac{12\times 7+1}{7}\times \frac{9\times 3+1}{3}}$$

Multiply 12 and 7 to get 84.

$$\frac{30}{\frac{84+1}{7}\times \frac{9\times 3+1}{3}}$$

Add 84 and 1 to get 85.

$$\frac{30}{\frac{85}{7}\times \frac{9\times 3+1}{3}}$$

Multiply 9 and 3 to get 27.

$$\frac{30}{\frac{85}{7}\times \frac{27+1}{3}}$$

Add 27 and 1 to get 28.

$$\frac{30}{\frac{85}{7}\times \frac{28}{3}}$$

Multiply \frac{85}{7} times \frac{28}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{30}{\frac{85\times 28}{7\times 3}}$$

Do the multiplications in the fraction \frac{85\times 28}{7\times 3}.

$$\frac{30}{\frac{2380}{21}}$$

Reduce the fraction \frac{2380}{21} to lowest terms by extracting and canceling out 7.

$$\frac{30}{\frac{340}{3}}$$

Divide 30 by \frac{340}{3} by multiplying 30 by the reciprocal of \frac{340}{3}.

$$30\times \frac{3}{340}$$

Express 30\times \frac{3}{340} as a single fraction.

$$\frac{30\times 3}{340}$$

Multiply 30 and 3 to get 90.

$$\frac{90}{340}$$

Reduce the fraction \frac{90}{340} to lowest terms by extracting and canceling out 10.

$$\frac{9}{34}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 17} = 0.2647058823529412$$