Question

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

Answer 1

Step-by-step explanation:

first bracket

2/3+4/3 = 2

1/2 = 0.5

LHS = 0.5+2 = 2.5

Rhs

1/2+2/3 = 0.5+0.67 = 1.17

4/3 = 1.333

adding both

1.17+1.33 = 2.5

LHS = RHS

Answer 2

Given : $\sf \dfrac{ 1}{2} + \bigg( \dfrac{2}{3} + \dfrac{4}{3} \bigg) = \bigg( \dfrac{1}{2} + \dfrac{2}{3}\bigg) + \dfrac{4}{3}$

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$\quad \dashrightarrow \sf \dfrac{ 1}{2} + \bigg( \dfrac{2}{3} + \dfrac{4}{3} \bigg) = \bigg( \dfrac{1}{2} + \dfrac{2}{3}\bigg) + \dfrac{4}{3}$

$\quad \dashrightarrow \sf \dfrac{ 1}{2} + \bigg( \dfrac{4 + 2}{3} \bigg) = \bigg( \dfrac{1}{2} + \dfrac{2}{3}\bigg) + \dfrac{4}{3}$

$\quad \dashrightarrow \sf \dfrac{ 1}{2} + \dfrac{6}{3} = \bigg( \dfrac{3 + 4 }{6} \bigg) + \dfrac{4}{3}$

$\quad \dashrightarrow \sf \dfrac{ 1}{2} + \dfrac{6}{3} = \dfrac{7 }{6} + \dfrac{4}{3}$

$\quad \dashrightarrow \sf \dfrac{3 + 12}{6} = \dfrac{7 + 8 }{6}$

$\quad \dashrightarrow \sf \dfrac{15}{6} = \dfrac{15 }{6}$

$\quad \dashrightarrow \sf \cancel{ \dfrac{15}{6}} = \cancel{ \dfrac{15 }{6} }$

$\quad \dashrightarrow \sf \dfrac{5}{2} = \dfrac{5}{2}$

Hence , The Simplified form is $\bf \dfrac{5}{2} \:\:$ .