Hi,
I'd like to know if you can tell me if I have gotten the following simplification correct.
Thanks!
(2/1 + 3/4) ÷ (2/1 - 3/8) =
5/5 ÷ 1/9 =
5/5 ÷ 9/1 =
45/5 = 9/1
first, note that $\displaystyle \frac{2}{1} + \frac{3}{4} \ne \frac{5}{5}$ and $\displaystyle \frac{2}{1} - \frac{3}{8} \ne \frac{1}{9}$
in both cases you need a common denominator ...
$\displaystyle \frac{8}{4} + \frac{3}{4} = \frac{8+3}{4} = \frac{11}{4}$
$\displaystyle \frac{16}{8} - \frac{3}{8} = \frac{16-3}{8} = \frac{13}{8}$
now do the division.