Question

plot each fraction below and compare the fractions using <, >, or =. 2/6 ○ 1/4

Explanation:

Step1: Simplify the fractions

Simplify \(\frac{2}{6}\) to \(\frac{1}{3}\) (dividing numerator and denominator by 2). So we have \(\frac{1}{3}\) and \(\frac{1}{4}\).

Step2: Find a common denominator

The least common denominator of 3 and 4 is 12. Convert \(\frac{1}{3}\) to \(\frac{4}{12}\) (multiplying numerator and denominator by 4) and \(\frac{1}{4}\) to \(\frac{3}{12}\) (multiplying numerator and denominator by 3).

Step3: Compare the numerators

Since \(4 > 3\), \(\frac{4}{12} > \frac{3}{12}\), which means \(\frac{1}{3} > \frac{1}{4}\) or \(\frac{2}{6} > \frac{1}{4}\).

Answer:

\(\frac{2}{6} > \frac{1}{4}\)