Question

simplify 2/3+1/6+[1/3+1/2]+3 please read the question correctly​

Answer 1

$\: \: \: \: \: \implies\frak{ \dfrac{2}{3} + \dfrac{1}{6} + \bigg[ \dfrac{1}{3} + \dfrac{1}{2} \bigg ]+3}$

• Taking LCM

$\: \: \: \: \: \implies\sf{ \dfrac{12 + 3} {18} + \bigg[ \dfrac{2 + 3}{6} \bigg ]+3}$

$\: \: \: \: \: \implies\sf{ \dfrac{15} {18} + \bigg[ \dfrac{6}{6} \bigg ]+3}$

$\: \: \: \: \: \implies\sf{ \dfrac{5} {6} + 1+3}$

$\: \: \: \: \: \implies\sf{ \dfrac{5} {6} +4}$

$\: \: \: \: \: \implies\sf{ \dfrac{5 + 24} {6} }$

$\: \: \: \: \: \implies\sf{ \dfrac{29} {6} = 4.8\bar3}$

$\boxed{\frak{ \dfrac{2}{3} + \dfrac{1}{6} + \bigg[ \dfrac{1}{3} + \dfrac{1}{2} \bigg ]+3~~=~~ \bf\dfrac{29}{6} }}$