Math, asked by ranavaishali810, 3 months ago

2) Add :
Add : 2 4/5 + 3 5/6​

Answers

Answered by BrainlyNitya
32

24/5 + 35/6

making denominator same

24/5 = 144/30

35/6 = 175/30

144/30+175/30

= 319/60

hope it's helpful

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Answered by Anonymous
1495

\huge\purple{\boxed{\sf Given}}

  • {\bf{2 \frac{4}{5} }} + {\bf{3 \frac{5}{6}}}

 \\ \\

\huge\purple{\boxed{\sf Steps \: To \: Solve :-}}

  1. Convert the mixed fractions into improper fraction.
  2. Take the LCM of the denominators.
  3. Multiply each fraction by such a number, that the denominators become the same.
  4. Now add the fractions

 \\ \\

\huge\purple{\boxed{\sf Step \: By \: Step \: Solution :-}}

|•| {\bf{2  \frac{4}{5}  =  \frac{14}{5} }}

|•| {\bf{3 \frac{5}{6}  =  \frac{23}{6}}}

ɴᴏᴡ,

★Taking LCM of the denominators, i.e, 5 & 6

★LCM of 5 & 6 = 30

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

ᴍᴀᴋɪɴɢ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ ᴇqᴜᴀʟ:

  • {\bf{\frac{14}{5}  \times 6 =  \frac{84}{30} }}

  • {\bf{\frac{23}{6}  \times 5 =  \frac{115}{30}}}

 \\ \\

ᴀᴅᴅɪɴɢ ᴛʜᴇ ꜰʀᴀᴄᴛɪᴏɴꜱ:

{\bf{\frac{84}{30}  +  \frac{115}{30} }}

{\bf{\frac{84 + 115}{30}}}

\tt\bf\purple{\frac{199}{30} }

 \\ \\

ᴄᴏɴᴠᴇʀᴛɪɴɢ ᴛʜᴇ ʀᴇꜱᴜʟᴛ ɪɴᴛᴏ ᴍɪxᴇᴅ ꜰʀᴀᴄᴛɪᴏɴ:

\tt\bf\green{ \frac{199}{30}  = 6 \frac{19}{30} ✓ }

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