Arrange these unit fractions from smallest to largest. Which order is correct?

Class 6FractionsFractions

A $\frac{1}{8} < \frac{1}{4} < \frac{1}{3} < \frac{1}{2}$
B $\frac{1}{2} < \frac{1}{3} < \frac{1}{4} < \frac{1}{8}$
C $\frac{1}{3} < \frac{1}{4} < \frac{1}{2} < \frac{1}{8}$
D $\frac{1}{4} < \frac{1}{8} < \frac{1}{3} < \frac{1}{2}$

Step-by-Step Solution

These are unit fractions (numerator 1). A smaller denominator gives a larger value. So

\frac{1}{8} < \frac{1}{4} < \frac{1}{3} < \frac{1}{2}

Answer: A)

\frac{1}{8} < \frac{1}{4} < \frac{1}{3} < \frac{1}{2}

Key idea: Comparing fractions

**Same denominator (like fractions)**: just compare the numerators. 5/7 > 3/7 because 5 > 3.

**Same numerator**: the bigger denominator means smaller pieces, so smaller value. 1/4 > 1/8 — the same one piece is bigger when the whole is split into fewer pieces.

**Neither same**: rewrite both with a common denominator (a denominator both fractions can share, often the LCM of the two denominators). Then compare numerators.

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