Solve 1/3+1/4/frac{1{4*3}}

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

Evaluate

$$7$$

Solution Steps

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

$$\frac{\frac{4}{12}+\frac{3}{12}}{\frac{1}{4\times 3}}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+3}{12}}{\frac{1}{4\times 3}}$$

Add 4 and 3 to get 7.

$$\frac{\frac{7}{12}}{\frac{1}{4\times 3}}$$

Multiply 4 and 3 to get 12.

$$\frac{\frac{7}{12}}{\frac{1}{12}}$$

Divide \frac{7}{12} by \frac{1}{12} by multiplying \frac{7}{12} by the reciprocal of \frac{1}{12}.

$$\frac{7}{12}\times 12$$

Cancel out 12 and 12.

$$7$$

Factor

$$7$$