Solve 27,5^2-35*17,5/3

$$\frac { 27,5 ^ { 2 } - 35 \cdot 17,5 } { 3 }$$

Evaluate

$$\frac{125}{6}\approx 20,833333333$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{27\times 25-35\times 17,5}{3}$$

Multiply 27 and 25 to get 675.

$$\frac{675-35\times 17,5}{3}$$

Multiply 35 and 17,5 to get 612,5.

$$\frac{675-612,5}{3}$$

Subtract 612,5 from 675 to get 62,5.

$$\frac{62,5}{3}$$

Expand \frac{62,5}{3} by multiplying both numerator and the denominator by 10.

$$\frac{625}{30}$$

Reduce the fraction \frac{625}{30} to lowest terms by extracting and canceling out 5.

$$\frac{125}{6}$$

Factor

$$\frac{5 ^ {3}}{2 \cdot 3} = 20\frac{5}{6} = 20.833333333333332$$