Solve 2/49z^3+1/14z^2

$$\frac { 2 } { 49 z ^ { 3 } } + \frac { 1 } { 14 z ^ { 2 } }$$

Evaluate

$$\frac{7z+4}{98z^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 49z^{3} and 14z^{2} is 98z^{3}. Multiply \frac{2}{49z^{3}} times \frac{2}{2}. Multiply \frac{1}{14z^{2}} times \frac{7z}{7z}.

$$\frac{2\times 2}{98z^{3}}+\frac{7z}{98z^{3}}$$

Since \frac{2\times 2}{98z^{3}} and \frac{7z}{98z^{3}} have the same denominator, add them by adding their numerators.

$$\frac{2\times 2+7z}{98z^{3}}$$

Do the multiplications in 2\times 2+7z.

$$\frac{4+7z}{98z^{3}}$$

Factor

$$\frac{7z+4}{98z^{3}}$$