Question

week 6 quiz due sunday by 11:59pm points 100 submitting an external tool content attribution question 11 · 1 point add: $\frac{3}{24x^{4}y^{2}}+\frac{7}{12x^{5}y^{4}}$. provide your answer below:

Explanation:

Step1: Find the least - common denominator (LCD)

The denominators are $24x^{4}y^{2}$ and $12x^{5}y^{4}$. The LCD of 24 and 12 is 24, and for the variables, the LCD of $x^{4}y^{2}$ and $x^{5}y^{4}$ is $x^{5}y^{4}$.

Step2: Rewrite each fraction with the LCD

$\frac{3}{24x^{4}y^{2}}\times\frac{x y^{2}}{x y^{2}}=\frac{3xy^{2}}{24x^{5}y^{4}}$, $\frac{7}{12x^{5}y^{4}}\times\frac{2}{2}=\frac{14}{24x^{5}y^{4}}$

Step3: Add the fractions

$\frac{3xy^{2}}{24x^{5}y^{4}}+\frac{14}{24x^{5}y^{4}}=\frac{3xy^{2} + 14}{24x^{5}y^{4}}$

Answer:

$\frac{3xy^{2}+14}{24x^{5}y^{4}}$