Q.3 Naina was given \(1\frac{1}{2} \) piece of cake and Najma was given \(1\frac{1}{3} \) piece of cake. Find the total amount of cake was given to both of them.


Answer :

Fraction of cake Naina got = \(1\frac{1}{2} \) = \(\frac{3}{2} \)
Fraction of cake Najma got = \(1\frac{1}{3} \)= \(\frac{4}{3} \)
Total amount of cake given to both of them =
\(\frac{3}{2} + \frac{4}{3} \)
LCM of 2 and 3 = 6
\(\frac{3×3}{2×3} + \frac{4×2}{3×2} \)
= \(\frac{9}{6} + \frac{8}{6} \)
= \(\frac{17}{6} \) = \(2\frac{5}{6} \)

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