Solve 1/2frac{3{4}}+1/3=

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

Evaluate

$$\frac{23}{33}\approx 0.696969697$$

Solution Steps

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

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

Multiply 2 and 4 to get 8.

$$\frac{4}{8+3}+\frac{1}{3}$$

Add 8 and 3 to get 11.

$$\frac{4}{11}+\frac{1}{3}$$

Least common multiple of 11 and 3 is 33. Convert \frac{4}{11} and \frac{1}{3} to fractions with denominator 33.

$$\frac{12}{33}+\frac{11}{33}$$

Since \frac{12}{33} and \frac{11}{33} have the same denominator, add them by adding their numerators.

$$\frac{12+11}{33}$$

Add 12 and 11 to get 23.

$$\frac{23}{33}$$

Factor

$$\frac{23}{3 \cdot 11} = 0.696969696969697$$