Solve [(0.12*387)+(0.30*4180)](28-25)/(0.06)(100-28)

$$\frac { [ ( 0.12 \times 387 ) + ( 0.30 \times 4180 ) ] ( 28 - 25 ) } { ( 0.06 ) ( 100 - 28 ) }$$

Evaluate

$$\frac{10837}{12}\approx 903.083333333$$

Solution Steps

Multiply 0.12 and 387 to get 46.44.

$$\frac{\left(46.44+0.3\times 4180\right)\left(28-25\right)}{0.06\left(100-28\right)}$$

Multiply 0.3 and 4180 to get 1254.

$$\frac{\left(46.44+1254\right)\left(28-25\right)}{0.06\left(100-28\right)}$$

Add 46.44 and 1254 to get 1300.44.

$$\frac{1300.44\left(28-25\right)}{0.06\left(100-28\right)}$$

Subtract 25 from 28 to get 3.

$$\frac{1300.44\times 3}{0.06\left(100-28\right)}$$

Multiply 1300.44 and 3 to get 3901.32.

$$\frac{3901.32}{0.06\left(100-28\right)}$$

Subtract 28 from 100 to get 72.

$$\frac{3901.32}{0.06\times 72}$$

Multiply 0.06 and 72 to get 4.32.

$$\frac{3901.32}{4.32}$$

Expand \frac{3901.32}{4.32} by multiplying both numerator and the denominator by 100.

$$\frac{390132}{432}$$

Reduce the fraction \frac{390132}{432} to lowest terms by extracting and canceling out 36.

$$\frac{10837}{12}$$

Factor

$$\frac{10837}{3 \cdot 2 ^ {2}} = 903\frac{1}{12} = 903.0833333333334$$