Is 2/6 greater than 1/3?

Understand the Problem

The question asks to compare the fractions 2/6 and 1/3 to determine which one is greater.

Answer

$ \frac{2}{6} = \frac{1}{3} $
Answer for screen readers

$ \frac{2}{6} = \frac{1}{3} $

Steps to Solve

  1. Find a common denominator

To compare the two fractions, we first find a common denominator. The denominators in this case are 6 and 3. The least common multiple (LCM) of 3 and 6 is 6.

  1. Convert 1/3 to have the common denominator

Now we convert the fraction $ \frac{1}{3} $ to have a denominator of 6. We do this by multiplying both the numerator and the denominator by 2: $$ \frac{1 \cdot 2}{3 \cdot 2} = \frac{2}{6} $$

  1. Compare the two fractions

Now we can compare the two fractions: $$ \frac{2}{6} \text{ and } \frac{2}{6} $$ Since they are equal, we can conclude that $ \frac{2}{6} = \frac{1}{3} $.

$ \frac{2}{6} = \frac{1}{3} $

More Information

Both fractions represent the same value, which means they are equal when simplified. This shows that finding a common denominator is a helpful method for comparing fractions.

Tips

  • Inaccurately finding the least common denominator can lead to incorrect comparisons. Always ensure that you convert both fractions to the same denominator before comparing them.

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