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Sagot :
Answer:
[tex] \large \rm \frac{3}{4} + \frac{5}{6} + \frac{7}{8} [/tex]
- LCM of 4,6 and 8=2×2×3×2=24
- Converting each of them into equivalent like fractions,
[tex] \large \rm \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} [/tex]
[tex] \large\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} [/tex]
[tex]\large \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} =\frac{59}{24}=2\frac{11}{24}[/tex]
[tex] \dashrightarrow\dfrac{3}{4} + \dfrac{5}{6} + \dfrac{7}{8} \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \dfrac{\frac{3 \times 24}{4} + \frac{5 \times 24}{6} + \frac{7 \times24}{8}} {24} \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \dfrac{3 \times 6 +5 \times 4+ 7 \times 3} {24} \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \dfrac{18 +20+ 21} {24} \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \dfrac{18 +41} {24} \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \dfrac{59} {24} \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 2.4 \\ \\ [/tex]
[tex] \\ \\ [/tex]
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