Solve 1/2div2/3+6*1/2^2

$$\frac { 1 } { 2 } \div \frac { 2 } { 3 } + 6 \times \frac { 1 } { 2 ^ { 2 } }$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Divide \frac{1}{2} by \frac{2}{3} by multiplying \frac{1}{2} by the reciprocal of \frac{2}{3}.

$$\frac{1}{2}\times \frac{3}{2}+6\times \frac{1}{2^{2}}$$

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

$$\frac{1\times 3}{2\times 2}+6\times \frac{1}{2^{2}}$$

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

$$\frac{3}{4}+6\times \frac{1}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{3}{4}+6\times \frac{1}{4}$$

Multiply 6 and \frac{1}{4} to get \frac{6}{4}.

$$\frac{3}{4}+\frac{6}{4}$$

Since \frac{3}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+6}{4}$$

Add 3 and 6 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$