Compare the fractions: 1/3 ? 4/9
Understand the Problem
The question asks us to compare two fractions, 1/3 and 4/9, and determine which is larger, smaller, or if they are equal. We need to insert the correct inequality symbol (<, >, or =) into the circle to complete the statement.
Answer
$\frac{1}{3} < \frac{4}{9}$
Answer for screen readers
$\frac{1}{3} < \frac{4}{9}$
Steps to Solve
- Find a common denominator
To compare the fractions, we need to find a common denominator. The least common multiple of 3 and 9 is 9.
- Convert $\frac{1}{3}$ to an equivalent fraction with a denominator of 9
Multiply the numerator and denominator of $\frac{1}{3}$ by 3:
$\frac{1}{3} \times \frac{3}{3} = \frac{3}{9}$
- Compare the two fractions
Now we can compare $\frac{3}{9}$ and $\frac{4}{9}$. Since 3 is less than 4, we have $\frac{3}{9} < \frac{4}{9}$.
- Write the inequality
Therefore, $\frac{1}{3} < \frac{4}{9}$.
$\frac{1}{3} < \frac{4}{9}$
More Information
The fraction $\frac{4}{9}$ is larger than $\frac{1}{3}$.
Tips
A common mistake is to try to compare fractions without finding a common denominator first. This can lead to incorrect conclusions. It is important to convert the fractions to equivalent fractions with the same denominator before comparing their numerators.
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