Naina was given `1 (1 )/(2 ) ` piece of cake and Najma was given `1 (1 )/(3 )` piece of cake. Find the total amount of cake was given to both of them.

Explanation

To find the total amount of cake given to Naina and Najma, we need to add the two mixed fractions: \(1 \frac{1}{2}\) and \(1 \frac{1}{3}\).

### Step 1: Convert the mixed fractions to improper fractions.
- For \(1 \frac{1}{2}\):
\[ 1 \frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2} \]

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