Solve 17*8-(32div(120div5)-(300-4*75))

$$17 \times 8-(32 \div (120 \div 5)-(300-4 \times 75))$$

Evaluate

$$\frac{404}{3}\approx 134.666666667$$

Solution Steps

Multiply 17 and 8 to get 136.

$$136-\left(\frac{32}{\frac{120}{5}}-\left(300-4\times 75\right)\right)$$

Divide 32 by \frac{120}{5} by multiplying 32 by the reciprocal of \frac{120}{5}.

$$136-\left(\frac{32\times 5}{120}-\left(300-4\times 75\right)\right)$$

Multiply 32 and 5 to get 160.

$$136-\left(\frac{160}{120}-\left(300-4\times 75\right)\right)$$

Reduce the fraction \frac{160}{120} to lowest terms by extracting and canceling out 40.

$$136-\left(\frac{4}{3}-\left(300-4\times 75\right)\right)$$

Multiply 4 and 75 to get 300.

$$136-\left(\frac{4}{3}-\left(300-300\right)\right)$$

Subtract 300 from 300 to get 0.

$$136-\left(\frac{4}{3}-0\right)$$

Subtract 0 from \frac{4}{3} to get \frac{4}{3}.

$$136-\frac{4}{3}$$

Convert 136 to fraction \frac{408}{3}.

$$\frac{408}{3}-\frac{4}{3}$$

Since \frac{408}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{408-4}{3}$$

Subtract 4 from 408 to get 404.

$$\frac{404}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 101}{3} = 134\frac{2}{3} = 134.66666666666666$$