Solve 5*170907.6856-15*10.6662/5*55-15^2

$$\frac { 5 \times 170907.6856 - 15 \times 10.6662 } { 5 \times 55 - 15 ^ { 2 } }$$

Evaluate

$$17087.5687$$

Solution Steps

Multiply 5 and 170907.6856 to get 854538.428.

$$\frac{854538.428-15\times 10.6662}{5\times 55-15^{2}}$$

Multiply 15 and 10.6662 to get 159.993.

$$\frac{854538.428-159.993}{5\times 55-15^{2}}$$

Subtract 159.993 from 854538.428 to get 854378.435.

$$\frac{854378.435}{5\times 55-15^{2}}$$

Multiply 5 and 55 to get 275.

$$\frac{854378.435}{275-15^{2}}$$

Calculate 15 to the power of 2 and get 225.

$$\frac{854378.435}{275-225}$$

Subtract 225 from 275 to get 50.

$$\frac{854378.435}{50}$$

Expand \frac{854378.435}{50} by multiplying both numerator and the denominator by 1000.

$$\frac{854378435}{50000}$$

Reduce the fraction \frac{854378435}{50000} to lowest terms by extracting and canceling out 5.

$$\frac{170875687}{10000}$$

Factor

$$\frac{17 \cdot 10051511}{2 ^ {4} \cdot 5 ^ {4}} = 17087\frac{5687}{10000} = 17087.5687$$