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# Question and Answer

Naina was given (1)$$\frac{{1}}{{2}}$$ piece of cake and Najma was given (1) $$\frac{{1}}{{3}}$$ piece of cake. Findthe total amount of cake was given to both of them.
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## QuestionMathsClass 6

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

amount of cake naina was given = $${1}\frac{{1}}{{2}}={1}+\frac{{1}}{{2}}$$

$$=\frac{{2}}{{2}}+\frac{{1}}{{2}}=\frac{{3}}{{2}}$$

amount of cake najma was given $${1}\frac{{1}}{{3}}={1}+\frac{{1}}{{3}}$$

$$=\frac{{3}}{{3}}+\frac{{1}}{{3}}=\frac{{4}}{{3}}$$

total amount of cake given to both of them = $$\frac{{3}}{{2}}+\frac{{4}}{{3}}$$

$$=\frac{{{3}\cdot{3}}}{{6}}+\frac{{{4}\cdot{2}}}{{6}}$$

$$=\frac{{9}}{{6}}+\frac{{8}}{{6}}=\frac{{{12}+{5}}}{{6}}=\frac{{17}}{{6}}={2}\frac{{5}}{{6}}$$piece