sankalp has invited 15 friends. he cut his birthday cake into 32 equal pieces . he wants to distribute cake in such a way that each of his friends and sankalp get equal fraction of cake. how many pieces of each of them get? what fraction of cake each of them get?

Sankalp has 15 friends, so the total number of people (including Sankalp) is:

\[
15 + 1 = 16 \text{ people}
\]

The cake is cut into 32 equal pieces. To find how many pieces each person gets, divide the total number of pieces by the number of people:

\[
\frac{32}{16} = 2 \text{ pieces per person}
\]

Each person gets **2 pieces of cake**.

Now, to find the fraction of the cake that each person receives, we divide 2 pieces (each person's share) by the total 32 pieces:

\[
\frac{2}{32} = \frac{1}{16}
\]

Each person gets **\(\frac{1}{16}\) of the cake**.

### Summary:
- **Each person gets 2 pieces of cake.**
- **Each person receives \(\frac{1}{16}\) of the cake.**

Would you like more details or have any questions?

Here are some related questions for further exploration:
1. What if the cake had been cut into 48 pieces instead?
2. If Sankalp had invited 20 friends, how would the distribution change?
3. How would the fraction of the cake change if only 10 friends attended?
4. What happens if one person doesn't want cake? How does the fraction change?
5. If the cake were shared unequally, how could it be divided among the 16 people?

**Tip**: When solving problems involving equal distribution, always divide the total amount by the number of recipients to find the share per person.

Sankalp has invited 15 friends. He cut his birthday cake into 32 equal pieces. He wants to distribute cake in such a way that each of his friends and Sankalp get equal fraction of cake. How many pieces does each of them get? What fraction of cake does each of them get?

Explore how to evenly distribute a birthday cake cut into 32 pieces among 16 people, including a detailed calculation of how many pieces each person gets and the fraction of the cake they receive. Ideal for students in Grades 4-6.

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