Solve 883.34*24*(55-15)*2/10*1000*(100-99.5)

$$\frac { 883.34 \times 24 \times ( 55 - 15 ) \times 2 } { 10 \times 1000 \times ( 100 - 99.5 ) }$$

Evaluate

$$339.20256$$

Solution Steps

Cancel out 2\times 2\times 4 in both numerator and denominator.

$$\frac{3\times 883.34\left(55-15\right)}{5\times 125\left(100-99.5\right)}$$

Multiply 3 and 883.34 to get 2650.02.

$$\frac{2650.02\left(55-15\right)}{5\times 125\left(100-99.5\right)}$$

Subtract 15 from 55 to get 40.

$$\frac{2650.02\times 40}{5\times 125\left(100-99.5\right)}$$

Multiply 2650.02 and 40 to get 106000.8.

$$\frac{106000.8}{5\times 125\left(100-99.5\right)}$$

Multiply 5 and 125 to get 625.

$$\frac{106000.8}{625\left(100-99.5\right)}$$

Subtract 99.5 from 100 to get 0.5.

$$\frac{106000.8}{625\times 0.5}$$

Multiply 625 and 0.5 to get 312.5.

$$\frac{106000.8}{312.5}$$

Expand \frac{106000.8}{312.5} by multiplying both numerator and the denominator by 10.

$$\frac{1060008}{3125}$$

Factor

$$\frac{3 \cdot 29 \cdot 1523 \cdot 2 ^ {3}}{5 ^ {5}} = 339\frac{633}{3125} = 339.20256$$