Solve (-5/6)^2*11/5

$$( - \frac { 5 } { 6 } ) ^ { 2 } \cdot 1 \frac { 1 } { 5 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Calculate -\frac{5}{6} to the power of 2 and get \frac{25}{36}.

$$\frac{25}{36}\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{25}{36}\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{25}{36}\times \frac{6}{5}$$

Multiply \frac{25}{36} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 6}{36\times 5}$$

Do the multiplications in the fraction \frac{25\times 6}{36\times 5}.

$$\frac{150}{180}$$

Reduce the fraction \frac{150}{180} to lowest terms by extracting and canceling out 30.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$