Solve 0,3(10/6)^2-10/6+2

$$0,3 ( \frac { 10 } { 6 } ) ^ { 2 } - \frac { 10 } { 6 } + 2$$

Evaluate

$$\frac{7}{6}\approx 1,166666667$$

Solution Steps

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$0,3\times \left(\frac{5}{3}\right)^{2}-\frac{10}{6}+2$$

Calculate \frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$0,3\times \frac{25}{9}-\frac{10}{6}+2$$

Multiply 0,3 and \frac{25}{9} to get \frac{5}{6}.

$$\frac{5}{6}-\frac{10}{6}+2$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}-\frac{5}{3}+2$$

Subtract \frac{5}{3} from \frac{5}{6} to get -\frac{5}{6}.

$$-\frac{5}{6}+2$$

Add -\frac{5}{6} and 2 to get \frac{7}{6}.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$