Question

3/7+-(8/21)+(-6/11+5/22 using commutativity and associativity

Answer 1

$\frac{3}{7} + ( - \frac{8}{21} ) + ( - \frac{6}{11} ) + \frac{5}{22} \\ ( \frac{3 \times 3 + ( - 8)}{21} ) +( \frac{ - 6 \times 2 + 5}{22} ) \\ ( \frac{9 + ( - 8)}{21} ) + ( \frac{ - 12 + 5}{22} ) \\ \frac{1}{21} + ( \frac{ - 7}{22} ) \\ \frac{1 \times 22 + ( - 7) \times 21}{21 \times 22} \\ \frac{22 - 147}{462} = - \frac{125}{462}$

Rough :

for addition, we group denominators since

7 × 3 = 21

we group 3/7. and (-8/21) together,

and

11 × 2 = 22

we group (-6/11 ) and 5/22 together,

Hope it helps you

thank you :)