Question

circle the fractions that are less than one half:

\\( \frac { 1 } { 4 } \\) \\( \frac { 3 } { 4 } \\) \\( \frac { 2 } { 3 } \\) \\( \frac { 1 } { 3 } \\)

Explanation:

Step1: Compare \(\frac{1}{4}\) with \(\frac{1}{2}\)

Find a common denominator. The common denominator of \(4\) and \(2\) is \(4\). \(\frac{1}{2}=\frac{2}{4}\). Since \(\frac{1}{4}<\frac{2}{4}\), \(\frac{1}{4}<\frac{1}{2}\).

Step2: Compare \(\frac{3}{4}\) with \(\frac{1}{2}\)

Common denominator is \(4\). \(\frac{1}{2}=\frac{2}{4}\). Since \(\frac{3}{4}>\frac{2}{4}\), \(\frac{3}{4}>\frac{1}{2}\).

Step3: Compare \(\frac{2}{3}\) with \(\frac{1}{2}\)

Common denominator is \(6\). \(\frac{2}{3}=\frac{4}{6}\), \(\frac{1}{2}=\frac{3}{6}\). Since \(\frac{4}{6}>\frac{3}{6}\), \(\frac{2}{3}>\frac{1}{2}\).

Step4: Compare \(\frac{1}{3}\) with \(\frac{1}{2}\)

Common denominator is \(6\). \(\frac{1}{3}=\frac{2}{6}\), \(\frac{1}{2}=\frac{3}{6}\). Since \(\frac{2}{6}<\frac{3}{6}\), \(\frac{1}{3}<\frac{1}{2}\).

Answer:

\(\frac{1}{4}\), \(\frac{1}{3}\)