Solve 3/4+{left(1/2right)}^2div2/3

$$\frac{ 3 }{ 4 } + { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } \div \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

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

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

Divide \frac{1}{4} by \frac{2}{3} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{3}.

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

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

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

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

$$\frac{3}{4}+\frac{3}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{3}{8} to fractions with denominator 8.

$$\frac{6}{8}+\frac{3}{8}$$

Since \frac{6}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{6+3}{8}$$

Add 6 and 3 to get 9.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$