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

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

Evaluate

$$4$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

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

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

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

Add 3 and 2 to get 5.

$$\frac{\frac{5}{3}}{\frac{3}{4}-\frac{1}{3}}$$

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

$$\frac{\frac{5}{3}}{\frac{9}{12}-\frac{4}{12}}$$

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

$$\frac{\frac{5}{3}}{\frac{9-4}{12}}$$

Subtract 4 from 9 to get 5.

$$\frac{\frac{5}{3}}{\frac{5}{12}}$$

Divide \frac{5}{3} by \frac{5}{12} by multiplying \frac{5}{3} by the reciprocal of \frac{5}{12}.

$$\frac{5}{3}\times \frac{12}{5}$$

Multiply \frac{5}{3} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 12}{3\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$4$$

Factor

$$2^{2}$$