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

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

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{3}{12}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}$$

Add 8 and 3 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$