Skill: Identify three thirds as one whole

Explanation and Free Practice Resources

A whole divided into three equal parts has three thirds: each part is one third, and combining the three equal parts restores the whole, so $\frac13+\frac13+\frac13=\frac33=1$ . This understanding applies to area, length, or other clearly represented wholes and emphasizes that the parts must be equal; it does not include general fraction operations, mixed numbers, or more advanced fraction equivalence.

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Detailed Explanation: Identify three thirds as one whole

A third means one of three equal parts.

Look at a rectangle divided into 3 equal parts:

\boxed{\frac13}\ \boxed{\frac13}\ \boxed{\frac13}

Each part is $\frac13$ of the whole rectangle.

Step 1: Count the equal parts.
There are 3 parts, and each part is one third.

Step 2: Put the three thirds together:

\frac13+\frac13+\frac13=\frac33

Step 3: Three thirds make the entire rectangle, so:

\frac33=1

Therefore, three thirds equal one whole:

\boxed{\frac13+\frac13+\frac13=1}

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Fractions Thirds - Which Set Makes a Whole

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