Solve y^2/34+11/23

$$\frac { y ^ { 2 } } { 34 } + \frac { 11 } { 23 }$$

Evaluate

$$\frac{y^{2}}{34}+\frac{11}{23}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 34 and 23 is 782. Multiply \frac{y^{2}}{34} times \frac{23}{23}. Multiply \frac{11}{23} times \frac{34}{34}.

$$\frac{23y^{2}}{782}+\frac{11\times 34}{782}$$

Since \frac{23y^{2}}{782} and \frac{11\times 34}{782} have the same denominator, add them by adding their numerators.

$$\frac{23y^{2}+11\times 34}{782}$$

Do the multiplications in 23y^{2}+11\times 34.

$$\frac{23y^{2}+374}{782}$$

Factor

$$\frac{23y^{2}+374}{782}$$

Solution Steps

Factor out \frac{1}{782}. Polynomial 23y^{2}+374 is not factored since it does not have any rational roots.

$$\frac{23y^{2}+374}{782}$$