Question

answer these questions plz.....

Answer 1

1.

a)
$= \frac{6}{8} + \frac{ - 3}{8}$
$= \frac{6 + ( - 3)}{8}$
$= \frac{6 - 3}{8}$
$= \frac{3}{8}$
b)

$\frac{ - 2}{5} + \frac{ - 3}{7}$

$= \frac{7( - 2)}{7(5)} + \frac{( - 3)(5)}{(7)(5)}$
$= \frac{ - 14}{35} + \frac{( - 15)}{35}$
$= \frac{ - 14 + ( - 15)}{35} \\ \\ = \frac{ - 14 - 15}{35 } \\ \\ = \frac{ - 29}{35}$
c)
$\frac{1}{ - 2} + \frac{3}{4} \\ \\ = - \frac{ 1}{2} + \frac{3}{4} \\ \\ = - \frac{2 ( 1)}{2(2)} + \frac{3}{4} \\ \\ = \frac{ - 2}{4} + \frac{3}{4} \\ \\ = \frac{ - 2 + 3}{4} \\ \\ = \frac{1}{4}$
d)
$\frac{ - 5}{6} + \frac{7}{8} \\ \\ = \frac{4( - 5)}{4(6)} + \frac{3(7)}{3(8)} \\ \\ = \frac{ - 20}{24} + \frac{21}{24} \\ \\ = \frac{1}{24}$

2.

a) Existence of inverse element property


b)Commutative property


c) Associative property

d) Existence of identity element property