Solve 0.597*16000*22/1000-0.06*649.9*0.75*3.2

$$0.597 \times 16000 \times \frac{ 22 }{ 1000 } -0.06 \times 649.9 \times 0.75 \times 3.2$$

Evaluate

$$116.5584$$

Solution Steps

Multiply 0.597 and 16000 to get 9552.

$$9552\times \frac{22}{1000}-0.06\times 649.9\times 0.75\times 3.2$$

Reduce the fraction \frac{22}{1000} to lowest terms by extracting and canceling out 2.

$$9552\times \frac{11}{500}-0.06\times 649.9\times 0.75\times 3.2$$

Express 9552\times \frac{11}{500} as a single fraction.

$$\frac{9552\times 11}{500}-0.06\times 649.9\times 0.75\times 3.2$$

Multiply 9552 and 11 to get 105072.

$$\frac{105072}{500}-0.06\times 649.9\times 0.75\times 3.2$$

Reduce the fraction \frac{105072}{500} to lowest terms by extracting and canceling out 4.

$$\frac{26268}{125}-0.06\times 649.9\times 0.75\times 3.2$$

Multiply 0.06 and 649.9 to get 38.994.

$$\frac{26268}{125}-38.994\times 0.75\times 3.2$$

Multiply 38.994 and 0.75 to get 29.2455.

$$\frac{26268}{125}-29.2455\times 3.2$$

Multiply 29.2455 and 3.2 to get 93.5856.

$$\frac{26268}{125}-93.5856$$

Convert decimal number 93.5856 to fraction \frac{935856}{10000}. Reduce the fraction \frac{935856}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{26268}{125}-\frac{58491}{625}$$

Least common multiple of 125 and 625 is 625. Convert \frac{26268}{125} and \frac{58491}{625} to fractions with denominator 625.

$$\frac{131340}{625}-\frac{58491}{625}$$

Since \frac{131340}{625} and \frac{58491}{625} have the same denominator, subtract them by subtracting their numerators.

$$\frac{131340-58491}{625}$$

Subtract 58491 from 131340 to get 72849.

$$\frac{72849}{625}$$

Factor

$$\frac{3 \cdot 7 \cdot 3469}{5 ^ {4}} = 116\frac{349}{625} = 116.5584$$