Solve 93div9*6*8-2/85div6*9-23

$$\frac{ 93 \div 9 \times 6 \times 8-2 }{ 85 \div 6 \times 9-23 }$$

Evaluate

$$\frac{52}{11}\approx 4.727272727$$

Solution Steps

Reduce the fraction \frac{93}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{31}{3}\times 6\times 8-2}{\frac{85}{6}\times 9-23}$$

Express \frac{31}{3}\times 6 as a single fraction.

$$\frac{\frac{31\times 6}{3}\times 8-2}{\frac{85}{6}\times 9-23}$$

Multiply 31 and 6 to get 186.

$$\frac{\frac{186}{3}\times 8-2}{\frac{85}{6}\times 9-23}$$

Divide 186 by 3 to get 62.

$$\frac{62\times 8-2}{\frac{85}{6}\times 9-23}$$

Multiply 62 and 8 to get 496.

$$\frac{496-2}{\frac{85}{6}\times 9-23}$$

Subtract 2 from 496 to get 494.

$$\frac{494}{\frac{85}{6}\times 9-23}$$

Express \frac{85}{6}\times 9 as a single fraction.

$$\frac{494}{\frac{85\times 9}{6}-23}$$

Multiply 85 and 9 to get 765.

$$\frac{494}{\frac{765}{6}-23}$$

Reduce the fraction \frac{765}{6} to lowest terms by extracting and canceling out 3.

$$\frac{494}{\frac{255}{2}-23}$$

Convert 23 to fraction \frac{46}{2}.

$$\frac{494}{\frac{255}{2}-\frac{46}{2}}$$

Since \frac{255}{2} and \frac{46}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{494}{\frac{255-46}{2}}$$

Subtract 46 from 255 to get 209.

$$\frac{494}{\frac{209}{2}}$$

Divide 494 by \frac{209}{2} by multiplying 494 by the reciprocal of \frac{209}{2}.

$$494\times \frac{2}{209}$$

Express 494\times \frac{2}{209} as a single fraction.

$$\frac{494\times 2}{209}$$

Multiply 494 and 2 to get 988.

$$\frac{988}{209}$$

Reduce the fraction \frac{988}{209} to lowest terms by extracting and canceling out 19.

$$\frac{52}{11}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{11} = 4\frac{8}{11} = 4.7272727272727275$$