Solve 7/3+y^2/4

$$\frac { 7 } { 3 } + \frac { y ^ { 2 } } { 4 }$$

Evaluate

$$\frac{y^{2}}{4}+\frac{7}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4 is 12. Multiply \frac{7}{3} times \frac{4}{4}. Multiply \frac{y^{2}}{4} times \frac{3}{3}.

$$\frac{7\times 4}{12}+\frac{3y^{2}}{12}$$

Since \frac{7\times 4}{12} and \frac{3y^{2}}{12} have the same denominator, add them by adding their numerators.

$$\frac{7\times 4+3y^{2}}{12}$$

Do the multiplications in 7\times 4+3y^{2}.

$$\frac{28+3y^{2}}{12}$$

Factor

$$\frac{3y^{2}+28}{12}$$

Solution Steps

Factor out \frac{1}{12}. Polynomial 28+3y^{2} is not factored since it does not have any rational roots.

$$\frac{28+3y^{2}}{12}$$