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# 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.

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
$$\frac{3×3}{2×3} + \frac{4×2}{3×2}$$
= $$\frac{9}{6} + \frac{8}{6}$$
= $$\frac{17}{6}$$ = $$2\frac{5}{6}$$