Solve (-2)^2+1/4(2/3)=

$$( - 2 ) ^ { 2 } + \frac { 1 } { 4 } ( \frac { 2 } { 3 } ) =$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$4+\frac{1}{4}\times \frac{2}{3}$$

Multiply \frac{1}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$4+\frac{1\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{1\times 2}{4\times 3}.

$$4+\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$4+\frac{1}{6}$$

Convert 4 to fraction \frac{24}{6}.

$$\frac{24}{6}+\frac{1}{6}$$

Since \frac{24}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{24+1}{6}$$

Add 24 and 1 to get 25.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$