Solve (131.78*0.107+27.95)(32-3)/16.07(100-32)

$$\frac { ( 131.78 \times 0.107 + 27.95 ) ( 32 - 3 ) } { 16.07 ( 100 - 32 ) }$$

Evaluate

$$\frac{60973167}{54638000}\approx 1.115948003$$

Solution Steps

Multiply 131.78 and 0.107 to get 14.10046.

$$\frac{\left(14.10046+27.95\right)\left(32-3\right)}{16.07\left(100-32\right)}$$

Add 14.10046 and 27.95 to get 42.05046.

$$\frac{42.05046\left(32-3\right)}{16.07\left(100-32\right)}$$

Subtract 3 from 32 to get 29.

$$\frac{42.05046\times 29}{16.07\left(100-32\right)}$$

Multiply 42.05046 and 29 to get 1219.46334.

$$\frac{1219.46334}{16.07\left(100-32\right)}$$

Subtract 32 from 100 to get 68.

$$\frac{1219.46334}{16.07\times 68}$$

Multiply 16.07 and 68 to get 1092.76.

$$\frac{1219.46334}{1092.76}$$

Expand \frac{1219.46334}{1092.76} by multiplying both numerator and the denominator by 100000.

$$\frac{121946334}{109276000}$$

Reduce the fraction \frac{121946334}{109276000} to lowest terms by extracting and canceling out 2.

$$\frac{60973167}{54638000}$$

Factor

$$\frac{3 \cdot 29 \cdot 71 \cdot 9871}{17 \cdot 1607 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 1\frac{6335167}{54638000} = 1.1159480032212015$$