Solve 10*(1/2)^2+9*1/2

$$10 \cdot ( \frac { 1 } { 2 } ) ^ { 2 } + 9 \cdot \frac { 1 } { 2 }$$

Evaluate

$$7$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$10\times \frac{1}{4}+9\times \frac{1}{2}$$

Multiply 10 and \frac{1}{4} to get \frac{10}{4}.

$$\frac{10}{4}+9\times \frac{1}{2}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}+9\times \frac{1}{2}$$

Multiply 9 and \frac{1}{2} to get \frac{9}{2}.

$$\frac{5}{2}+\frac{9}{2}$$

Since \frac{5}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{2}$$

Add 5 and 9 to get 14.

$$\frac{14}{2}$$

Divide 14 by 2 to get 7.

$$7$$

Factor

$$7$$