Question

Verify

and Identify the property

1/2 + (1/4 + 2/3) = (1/2 + 1/4) + 2/3​

Answer 1

Answer:

The property is an associative property for verification check the step by step explanation

Step-by-step explanation:

=>1/2 + 11/12 = 3/4 + 2/3

=>17/12=17/12

hence the above equation is correct

Answer 2

Answer:

Solution :-

$\longrightarrow$ $\dfrac{1}{2} + \bigg(\dfrac{1}{4} + \dfrac{2}{3}\bigg) = \bigg(\dfrac{1}{2} + \dfrac{1}{4}\bigg) + \dfrac{2}{3}$

$L.H.S\longrightarrow$ $\dfrac{1}{2} + \bigg(\dfrac{1}{4} + \dfrac{2}{3}\bigg)$

$\Rightarrow$ $\dfrac{1}{2} + \dfrac{1}{4} + \dfrac{2}{3}$

$\Rightarrow$ $\dfrac{6 + 3 + 8}{12}$

$\Rightarrow$ $\dfrac{17}{12}$

$R.H.S\longrightarrow$ $\bigg(\dfrac{1}{2} + \dfrac{1}{4}\bigg) + \dfrac{2}{3}$

$\Rightarrow$ $\dfrac{1}{2} + \dfrac{1}{4} + \dfrac{2}{3}$

$\Rightarrow$ $\dfrac{6 + 3 + 8}{12}$

$\Rightarrow$ $\dfrac{17}{12}$

$\therefore$ $L.\:H.\:S\: = R.\:H.\:S\: (verified)$