Question

add. simplify if possible.

\\(\frac{7}{rt^2} + \frac{5}{r^2t}\\)

\\(\frac{7}{rt^2} + \frac{5}{r^2t} = \square\\)

Explanation:

Find the least common denominator

$$ \text{LCD}(rt^2, r^2t) = r^2t^2 $$

Rewrite fractions with the common denominator

$$ \frac{7}{rt^2} \cdot \frac{r}{r} = \frac{7r}{r^2t^2} $$

$$ \frac{5}{r^2t} \cdot \frac{t}{t} = \frac{5t}{r^2t^2} $$

Add the numerators

$$ \frac{7r}{r^2t^2} + \frac{5t}{r^2t^2} = \frac{7r + 5t}{r^2t^2} $$

Answer:

Add. Simplify if possible.

\(\frac{7}{rt^2} + \frac{5}{r^2t} =\) <blank>\(\frac{7r + 5t}{r^2t^2}\)</blank>