Solve (1/2+1/3)*3/4=

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\left(\frac{3}{6}+\frac{2}{6}\right)\times \frac{3}{4}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

$$\frac{5}{6}\times \frac{3}{4}$$

Multiply \frac{5}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 4}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 4}.

$$\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$