Solve (27-33.3)^2/33.3

$$\frac { ( 27 - 33.3 ) ^ { 2 } } { 33.3 }$$

Evaluate

$$\frac{441}{370}\approx 1.191891892$$

Solution Steps

Subtract 33.3 from 27 to get -6.3.

$$\frac{\left(-6.3\right)^{2}}{33.3}$$

Calculate -6.3 to the power of 2 and get 39.69.

$$\frac{39.69}{33.3}$$

Expand \frac{39.69}{33.3} by multiplying both numerator and the denominator by 100.

$$\frac{3969}{3330}$$

Reduce the fraction \frac{3969}{3330} to lowest terms by extracting and canceling out 9.

$$\frac{441}{370}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2}}{2 \cdot 5 \cdot 37} = 1\frac{71}{370} = 1.191891891891892$$