Solve simple fraction-sharing problems

Detailed Explanation: Solve simple fraction-sharing problems

A fraction-sharing problem asks you to split a whole into equal parts.

Remember:

• 2 equal parts: each part is $\frac{1}{2}$, one-half.
• 3 equal parts: each part is $\frac{1}{3}$, one-third.
• 4 equal parts: each part is $\frac{1}{4}$, one-fourth.

Example: Maya shares 1 sandwich equally among 4 children. What fraction of the sandwich does each child get?

1. The whole sandwich is split into $4$ equal parts.
2. Count the equal parts: there are $4$ parts.
3. Each child gets $1$ of those $4$ parts.
4. So each child gets $\boxed{\frac{1}{4}}$ of the sandwich.

The parts must be equal. If one piece is larger than another, the pieces are not equal shares, so they cannot each be called $\frac{1}{4}$.