Question

Solve. 2/3x+5/6=3 1/3 Enter your answer as a mixed number in simplest form in the box.

Answer 1

Answer:

10/3

Step-by-step explanation:

Answer 2

$\bf \huge \: Question:$

Find the value of x

$\bf \huge \: Equation \: provided:$

$\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3}$

$\bf \huge \: Solution:$

$\bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:$

$\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3}$

$\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }$

$\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }$

$\bf \: On \: Simplification:$

$\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 }$

$\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2}$

$\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}$

$\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}$

$\bf On \: Simplification:$

$\sf \longmapsto1 \times \dfrac{15}{4}$

$\sf \longmapsto \: \dfrac{15}{4}$

$\underline{\bf Answer\: In \: mixed\: fraction:}$

$\sf \longmapsto \: 3\dfrac{3}{4}$

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$\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}$

$\boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}$