Question

Add as fast as possible using commutative property: A)7/3+-8/5+3/5+-2/3 B)-9/5+-2/3+1/5+3/5

Answer 1

⭐Hey user!⭐

✔Thanks for this question!!

↪Here's your answer!!!

(A)

$\frac{7}{3} + ( \frac{ - 8}{5} ) + \frac{3}{5} + ( \frac{ - 2}{3} ) \\ \\ = (\frac{7}{3} - \frac{2}{3} ) + ( \frac{3}{5} - \frac{8}{5} ) \\ \\ = \frac{5}{3} - \frac{5}{5} \\ taking \: the \: lcm \\ = \frac{25 - 15}{15} \\ \\ = \frac{10}{15} \\ \\ = \frac{2}{3}$


(B)

$\frac{ - 9}{5} + \frac{ - 2}{3} + \frac{1}{5} + \frac{3}{5} \\ \\ =( \frac{ - 9 + 1 + 3}{5} ) \frac{ - 2}{3} \\ \\ = \frac{ - 5}{5} - \frac{2}{3} \\ taking \: the \: lcm \\ = \frac{ - 15 - 10}{15} \\ \\ = - \frac{25}{15} \\ \\ = - \frac{ 5}{3}$

⏩Hope it helps!
✅Lemme know if you get any doubts!!
➡Follow me!!!