Question

please solve it by full explanation ​

Answer 1

Answer:

● LHS = RHS

Step-by-step explanation:

x= 3/4 y= 5/6 z= 7/8

● x +(y +z ) = (x + y ) + z

● 3/4 + (5/6 +7/8) = (3/4 + 5/6 ) +7/8

●3/4+ (20+21/24) = (9+10/12) +7/8

●3/4+ (41/24)= (19/12)+7/8

●18+41/24 = 38 +21 /24

● 59/24 =59/24

● LHS = RHS

hence verified

Answer 2

Step-by-step explanation:

Given :-

Verify that X+(Y+Z) = (X+Y)+Z

Values of X,Y and Z are given as below :-

$\circ \: \sf x = \bf \: \dfrac{3}{4}$

$\circ \: \sf y \: = \bf \: \dfrac{5}{6}$

$\circ \: \sf z \: = \bf \: \dfrac{ - 7}{8}$

So, let's solve it according to Associative property of addition.

What Associative property of addition says ?

$\sf \: Ans = \: \dfrac{p}{q} + ( \dfrac{r}{s} + \dfrac{t}{u}) = (\dfrac{p}{q} + \dfrac{r}{s}) + \dfrac{t}{u}$

$\sf \: Where \: q ,\: s \: and \: u \: \cancel= 0$

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Now let's solve it,

$\sf \: x + (y + z) = (x + y) + z$

So, from above rule we see that there are two sides one Left hand side (L.H.S) Which is in left side of equal to sign and another Right hand side (R.H.S) Which is in the right side of the equals to sign . So, we will calculate them separately and find the values of both the side and if the values are equal then our answer is right so let's begin,

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L.H.S

$:\implies \: \dfrac{3}{4} + \ [\dfrac{5}{6} + ( - \dfrac{7}{8})]$

$:\implies \: \dfrac{3}{4} + \ [\dfrac{5}{6} - \dfrac{7}{8}]$

$:\implies \: \dfrac{3}{4} + \ [ \dfrac{20 - 21}{24} ]$

$:\implies \: \dfrac{3}{4} + \ [ \dfrac{ - 1}{24} ]$

$:\implies \: \dfrac{3}{4} - \dfrac{ 1}{24}$

$:\implies \: \dfrac{18 - 1}{24}$

$:\implies \: \dfrac{17}{24}$

R.H.S

$:\implies \: [ \dfrac{3}{4} +\dfrac{5}{6} ] - \dfrac{7}{8}$

$: \implies \: \dfrac{18 + 20}{24} - \dfrac{7}{8}$

$: \implies \: \dfrac{38}{24} - \dfrac{7}{8}$

$: \implies \: \dfrac{38 - 21}{24}$

$: \implies \: \dfrac{17}{24}$

$\sf \: Since, \: \bf \: L.H.S = R.H.S$

$\bf\sf \: Hence, Verified \dag$