Question

verify associative property for addition and multiplication for the rational numbers -7/9, 5/6 and -4/3

Answer 1

Answer:

For multiplication -

a×(b×c)

$= \frac{ - 7}{9} \times ( \frac{5}{6} \times \frac{ - 4}{3} )$

$= \frac{ - 7}{9} \times \frac{ - 20}{18}$

$= \frac{140}{162}$

$= \frac{70}{81}$

For addition :

a+(b+c)

$\frac{ - 7}{9} + ( \frac{5}{6} + \frac{ - 4}{3} )$

L.c.m of 6 and 3 is 6

$\frac{ - 7}{9} + ( \frac{5 + ( - 8)}{ 6} )$

$\frac{ - 7}{9} + ( \frac{5 - 8}{6} )$

$\frac{ - 7}{9} + \frac{ - 3}{6}$

L.c.m of 9 and 6 is 18

$\frac{ - 14 + ( - 9)}{18}$

$\frac{ - 14 - 9}{18}$

$\frac{-23}{18}$

Answer 2

$\frac{7}{9} \times \frac{5}{6 } and - \frac{4}{3}$

$(\frac{7 {}^{ \times 6} }{9} \times \frac{5} {6}^{ \times 1} {} ) \times ( \frac{ - 4}{3} )$

$( \frac{7 \times 5}{54} ) - \frac{ - 4}{3}$

$\frac{35}{54} - \frac{ - 4}{3}$

$\frac{ {35}^{ \times 6} }{54} - \frac{ { - 4}^{ \times 1} }{3}$

This is your solution

I gess it would be right