Question

Verify the associative property for each of the following 7 upon 6 + 1 upon 3 plus 2 upon 9

Answer 1

Question

Verify the associative property for each of the following:

$\frac{7}{6} + \frac{1}{3} + \frac{2}{9}$

Step-by-step explanation:

• According, to associative property of addition

        $(\frac{7}{6} + \frac{1}{3}) + \frac{2}{9} = \frac{7}{6} +( \frac{1}{3} + \frac{2}{9})$

• Taking LHS,

       $(\frac{7}{6} + \frac{1}{3}) + \frac{2}{9}\\\\(\frac{7}{6} + \frac{2}{6}) + \frac{2}{9}\\\\(\frac{9}{6}) + \frac{2}{9}\\\\\frac{27}{18} + \frac{4}{18}\\\\\frac{31}{18}\\\\LHS = \frac{31}{18}$

• Taking RHS,

       $\frac{7}{6} +( \frac{1}{3} + \frac{2}{9})\\\\\frac{7}{6} +( \frac{3}{9} + \frac{2}{9})\\\\\frac{7}{6} +( \frac{5}{9})\\\\\frac{21}{18} +( \frac{10}{18})\\\\\frac{31}{18}\\\\RHS = \frac{31}{18}$

As, LHS = RHS

Hence, the associative property is verified.

$(\frac{7}{6} + \frac{1}{3}) + \frac{2}{9} = \frac{7}{6} +( \frac{1}{3} + \frac{2}{9})$