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Evaluate:........


(3)/(4) + (5)/(6) + (7)/(8)


User Thiaguerd
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2 Answers

7 votes

Answer:


\large \rm (3)/(4) + (5)/(6) + (7)/(8)

  • LCM of 4,6 and 8=2×2×3×2=24
  • Converting each of them into equivalent like fractions,


\large \rm (3)/(4) = (3 * 6)/(4 * 6) = (18)/(24)


\large(5)/(6) = (5 * 4)/(6 * 4) = (20)/(24)


\large (7)/(8) = (7 * 3)/(8 * 3) = (21)/(24) =(59)/(24)=2(11)/(24)

User Candidasa
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8.2k points
13 votes


\dashrightarrow(3)/(4) + (5)/(6) + (7)/(8) \\ \\


\\ \\


\sf \dashrightarrow \frac{(3 * 24)/(4) + (5 * 24)/(6) + (7 *24)/(8)} {24} \\ \\


\\ \\


\sf \dashrightarrow \frac{3 * 6 +5 * 4+ 7 * 3} {24} \\ \\


\\ \\


\sf \dashrightarrow \frac{18 +20+ 21} {24} \\ \\


\\ \\


\sf \dashrightarrow \frac{18 +41} {24} \\ \\


\\ \\


\sf \dashrightarrow \frac{59} {24} \\ \\


\\ \\


\sf \dashrightarrow 2.4 \\ \\


\\ \\

User Andrei Moiseev
by
8.4k points

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