Math, asked by yashikarawat48, 3 months ago

add and reduce to its reduce form 7/2 +9/4+ 6 7/5​

Answers

Answered by Anonymous
13

\huge\color{pink}{\mathfrak{ᴀɴsᴡᴇʀ}}

 \large \frac{7}{2}  +  \frac{9}{4}  +  \frac{7}{5}

Take L.C.M. to make the denominators same.

L.C.M. of 2,4,5 =2×2×5=20

 =  >  \frac{7}{2}  \times  \frac{10}{10}  =  \frac{70}{20 }  \\  \\  =  >  \frac{9}{4}  \times  \frac{5}{5}  =  \frac{45}{20}  \\  \\  =  >  \frac{7}{5}   \times  \frac{4}{4}  =  \frac{28}{20}  \\  \\  =  >  \frac{70 + 45 + 28}{20}  =  \frac{143}{20}

 \sf \: Reduce \:  it \:  to \:  lowest \:  form =  \frac{143}{20}  =  \frac{143}{20}

  {\underline{❥ʜᴏᴘᴇ  \: ɪᴛ \:  ʜᴇʟᴘs  \: ʏᴏᴜ.....}}

Answered by arunabalamohapatra
3

Answer:

 \huge \color{black} \fcolorbox{black}{pink} { \sf{♡sσlutíσn♡\: }}

 \frac{7}{2}  +  \frac{9}{4}  + 6 \frac{7}{5}  \\  \\ 6 \frac{7}{5}  =  \frac{5 \times 6 + 7}{5}  =  \frac{37}{5}

Taking LCM to make the denominators same.

LCM of 2, 4, 5 = 40

Making the denominators same.

 \frac{7}{2}  =  \frac{7 \times 20}{2 \times 20}  =  \frac{140}{20}  \\  \\  \frac{9}{4}  =  \frac{9 \times 10}{4 \times 10}  =  \frac{90}{40}  \\  \\  \frac{37}{5}  =  \frac{37 \times 8}{5 \times 8}  =  \frac{296}{40}

 =  \frac{140 + 90 + 296}{40}  =  \frac{526}{40}  \\  \\

Recuding to simplest form :-

 \implies \frac{526}{40}  = 13.15

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