Math, asked by somnat70, 4 months ago

add 2/6 + 5/8 + 4 please solve​

Answers

Answered by Ladylaurel
3

Answer :

The required number is  \sf{4 \dfrac{23}{24}}

Step-by-step explanation :

Given that,

  \sf{Add: \:  \:  \:  \:  \:  \:  \dfrac{2}{6} +  \dfrac{5}{8} +  \dfrac{4}{1} }

Solution :

 \pink{  \longrightarrow} \sf{ \dfrac{2}{6} +  \dfrac{5}{8} +  \dfrac{4}{1}}

 \pink{  \longrightarrow} \sf{ \dfrac{ \cancel{2}}{ \cancel{6}} +  \dfrac{5}{8} +  \dfrac{4}{1}}

Dividing 2 and 6 with 2

 \pink{  \longrightarrow} \sf{ \dfrac{1}{3} +  \dfrac{5}{8} +  \dfrac{4}{1}}

Now, Let's find the L.C.M of 3 , 8 and 1

\begin{gathered}\begin{array}{r|l}\sf3&\sf3,8,1\\\cline{2-2}\sf2&\sf1,8,1\\\cline{2-2}\sf2&\sf1,4,1\\\cline{2-2}\sf2&\sf1,2,1\\\cline{2-2}&\sf1,1,1\end{array}\end{gathered}

» 3 × 2 × 2 × 2

» 6 × 2 × 2

» 12 × 2

» 24

Therefore, L.C.M = 24

 \pink{  \longrightarrow} \sf{ \dfrac{(8 \times 1) + (3 \times 5) + (24 \times 4)}{24}}

 \pink{  \longrightarrow} \sf{ \dfrac{8 + 15 + 96}{24}}

 \pink{  \longrightarrow} \sf{ \dfrac{23+ 96}{24}}

 \pink{  \longrightarrow} \sf{ \dfrac{119}{24}}

 \pink{  \longrightarrow} \sf{ 4 \: \dfrac{23}{24}}   \:  \:  \:  \: \:  \purple{ \star}

 \sf{ \purple{ \underline{Answer:}} \:  \:  \: \: { 4 \: \dfrac{23}{24}}}

Answered by CuteAnswerer
6

GIVEN :

  • Add \bf{\dfrac{2}{6}  +  \dfrac{5}{8}  + 4}.

SOLUTION :

\implies{\sf{\dfrac{2}{6}  +  \dfrac{5}{8}  + 4}} \\ \\

\implies{\sf{\dfrac{2}{6}  +  \dfrac{5}{8}  + \dfrac{4}{1}}} \\

  • Taking LCM of 6 ,8 and 1 .
  • LCM =  \bf {2\times 2\times2 \times 3 =24}

\implies{\sf{\dfrac{2 \times 4 + 5 \times 3 + 4 \times 24}{24}  }} \\  \\

\implies{\sf{\dfrac{8+ 15  + 96}{24}  }} \\  \\

\implies{\sf{\dfrac{119}{24}  }} \\

  • Converting as mixed fraction :

\implies{ \purple{ \boxed{\bf{4\dfrac{23}{24}  }}}} \bigstar

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