Question

Verify the associative property of addition for the following rational numbers:

a = -7/15
b = 4/5
c = 2/3

Solve this equation with L.H.S = R.H.S

And I am don't ask sex ​

Answer 1

$\large\bf{❥Answer}$

First, let's understand what is the associative property of addition (in rational numbers)

$\small\sf{The \:associative \:property \:states\: that\: if \: \frac{p}{q} ,\: \frac{r}{s} and \: \frac{t}{u} are \: three \: ration \: numbers \: then: }$

$\sf{( \frac{p}{q} + \frac{r}{s} ) + \frac{t}{u} } = \frac{p}{q} + ( \frac{r}{s} + \frac{t}{u} )$

Here,

The three rational numbers are :

$\sf{ \frac{ - 7}{15 } \: , \frac{4}{5} \: and \: \frac{2}{3} }$

Therefore,

$( \frac{ - 7}{15} + \frac{4}{5} ) + \frac{2}{3} = \frac{ - 7}{15} + ( \frac{4}{5} + \frac{2}{3})$

Now, lets verify it !

$\small\bf{Let \: (\frac{ - 7}{15} + \frac{4}{5} )+ \frac{2}{3} \: be \:the \: LHS}$

$\small\bf{ \: and \: \frac{ - 7}{15} ( \frac{4}{5} + \frac{2}{3}) \: be \: the \: RHS}$

$\small\bf\red{Lets\:do\:it\:mate!}$

➠LHS:

$( \frac{ - 7}{15} + \frac{4}{5} ) + \frac{2}{3} \\ = ( \frac{ - 7 + 12}{15}) + \frac{2}{3} \\ = \frac{5}{15} + \frac{2}{3} \\ = \frac{5 + 10}{15} \\ \frac{15}{15} \\ = 1$

Therefore, LHS = 1

➠RHS:

$- \frac{ - 7}{15} + ( \frac{4}{5} + \frac{2}{3} ) \\ = \frac{ - 7}{15} + ( \frac{12 + 10}{15} ) \\ \frac{ - 7}{15} + \frac{22}{15} \\ \frac{15}{15} \\ = 1$

Therefore, RHS = 1

Hence, verified !!!

$\small\bf\purple{Hope\:it\:helps\:uh\::)}$