Question
Find equivalent fractions to compare. Then, write \( >,< \), or \( = \) \( \frac{2}{5} ? \frac{6}{10} \) \( \frac{2}{5} \square \frac{6}{10} \)
Ask by Reyes Clark. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{2}{5} < \frac{6}{10} \)
Solution
To compare 2/5 and 6/10, we can find equivalent fractions by converting them to have the same denominator.
Step 1: Convert 2/5 to an equivalent fraction with denominator 10.
2/5 = (2 × 2)/(5 × 2) = 4/10.
Step 2: Now compare 4/10 and 6/10.
Since 4 is less than 6, we have 4/10 < 6/10.
Thus, 2/5 < 6/10.
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Simplify this solution Mind Expander
To compare the fractions \( \frac{2}{5} \) and \( \frac{6}{10} \), we can find equivalent fractions. Notice that \( \frac{6}{10} \) can be simplified by dividing both the numerator and denominator by 2, giving us \( \frac{3}{5} \). Now we can compare \( \frac{2}{5} \) and \( \frac{3}{5} \). Since \( 2 < 3 \), we can write \( \frac{2}{5} < \frac{6}{10} \). So, \( \frac{2}{5} \square \frac{6}{10} \) translates to \( \frac{2}{5} < \frac{6}{10} \).
