Solve 2/3*1/2+3/4}

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

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{3}{4} to fractions with denominator 12.

$$\frac{4}{12}+\frac{9}{12}$$

Since \frac{4}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{12}$$

Add 4 and 9 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$