Solve ((273/10-134*2):(-1/8)-12)*3

$$( ( 27 \frac { 3 } { 10 } - 134 \cdot 2 ) : ( - \frac { 1 } { 8 } ) - 12 ) \cdot 3$$

Evaluate

$$\frac{28704}{5}=5740.8$$

Solution Steps

Multiply 27 and 10 to get 270.

$$\left(\frac{\frac{270+3}{10}-134\times 2}{-\frac{1}{8}}-12\right)\times 3$$

Add 270 and 3 to get 273.

$$\left(\frac{\frac{273}{10}-134\times 2}{-\frac{1}{8}}-12\right)\times 3$$

Multiply 134 and 2 to get 268.

$$\left(\frac{\frac{273}{10}-268}{-\frac{1}{8}}-12\right)\times 3$$

Convert 268 to fraction \frac{2680}{10}.

$$\left(\frac{\frac{273}{10}-\frac{2680}{10}}{-\frac{1}{8}}-12\right)\times 3$$

Since \frac{273}{10} and \frac{2680}{10} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{\frac{273-2680}{10}}{-\frac{1}{8}}-12\right)\times 3$$

Subtract 2680 from 273 to get -2407.

$$\left(\frac{-\frac{2407}{10}}{-\frac{1}{8}}-12\right)\times 3$$

Divide -\frac{2407}{10} by -\frac{1}{8} by multiplying -\frac{2407}{10} by the reciprocal of -\frac{1}{8}.

$$\left(-\frac{2407}{10}\left(-8\right)-12\right)\times 3$$

Express -\frac{2407}{10}\left(-8\right) as a single fraction.

$$\left(\frac{-2407\left(-8\right)}{10}-12\right)\times 3$$

Multiply -2407 and -8 to get 19256.

$$\left(\frac{19256}{10}-12\right)\times 3$$

Reduce the fraction \frac{19256}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{9628}{5}-12\right)\times 3$$

Convert 12 to fraction \frac{60}{5}.

$$\left(\frac{9628}{5}-\frac{60}{5}\right)\times 3$$

Since \frac{9628}{5} and \frac{60}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9628-60}{5}\times 3$$

Subtract 60 from 9628 to get 9568.

$$\frac{9568}{5}\times 3$$

Express \frac{9568}{5}\times 3 as a single fraction.

$$\frac{9568\times 3}{5}$$

Multiply 9568 and 3 to get 28704.

$$\frac{28704}{5}$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 13 \cdot 23}{5} = 5740\frac{4}{5} = 5740.8$$