Solve 3/4+4y/3

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{3}{4} times \frac{3}{3}. Multiply \frac{4y}{3} times \frac{4}{4}.

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

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

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

Do the multiplications in 3\times 3+4\times 4y.

$$\frac{9+16y}{12}$$

Factor

$$\frac{16y+9}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{9+16y}{12}$$