Skill: Identify unit fractions

Explanation and Free Practice Resources

A unit fraction represents one of a set of equal-sized parts of a whole, written 1/n1/n, where the denominator nn indicates the number of equal parts and the numerator 1 indicates that one part is selected. It can be identified in fraction notation, area or length models, and number-line representations; the denominator does not indicate the size of the selected part directly—larger denominators produce smaller unit fractions. More advanced reciprocal properties and generalized unit fractions are not included.

Detailed Explanation: Identify unit fractions

A unit fraction names exactly one equal part of a whole. It is written as

1n\frac{1}{n}

The numerator is 11, showing that one part is selected. The denominator tells how many equal parts make the whole.

Example: A rectangle is divided into 66 equal parts, and 11 part is shaded.

  1. Count the equal parts: there are 66.
  2. Count the shaded parts: there is 11.
  3. Write the shaded part as a fraction:
16\frac{1}{6}

Because the numerator is 11, 16\frac{1}{6} is a unit fraction. It means one out of six equal parts.

Remember: When a whole is divided into more equal parts, each part is smaller. For example, one part of 16\frac{1}{6} is smaller than one part of 13\frac{1}{3}.

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