Question
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Answer
\[
\frac{2}{3} - \frac{2}{5} = \frac{4}{15}
\]
Solution
To subtract the fractions \( \frac{2}{3} \) and \( \frac{2}{5} \), follow these steps:
1. **Find a common denominator.**
The least common denominator (LCD) of 3 and 5 is 15.
2. **Convert each fraction to have the LCD as the denominator.**
\[
\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
\]
\[
\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}
\]
3. **Subtract the numerators while keeping the denominator the same.**
\[
\frac{10}{15} - \frac{6}{15} = \frac{10 - 6}{15} = \frac{4}{15}
\]
So,
\[
\frac{2}{3} - \frac{2}{5} = \frac{4}{15}
\]
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Simplify this solution Mind Expander
To find the difference between \( \frac{2}{3} \) and \( \frac{2}{5} \), you first need a common denominator. The least common multiple of 3 and 5 is 15. Convert each fraction: \( \frac{2}{3} = \frac{10}{15} \) and \( \frac{2}{5} = \frac{6}{15} \). Now, you can subtract: \( \frac{10}{15} - \frac{6}{15} = \frac{4}{15} \). So, the answer is \( \frac{4}{15} \). To make this process easier, always look for the least common multiple first! It's like finding the perfect dance partner that makes everything smoother. A common mistake people make is forgetting to convert both fractions correctly; ensuring they have the same denominator is key!
