Question
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Answer
\[
\frac{5}{10} + \frac{3}{10} = \frac{4}{5}
\]
Solution
To solve the addition of the fractions \( \frac{5}{10} + \frac{3}{10} \), follow these steps:
1. **Add the Numerators:**
Since the denominators are the same (10), you can add the numerators directly.
\[
\frac{5}{10} + \frac{3}{10} = \frac{5 + 3}{10} = \frac{8}{10}
\]
2. **Simplify the Fraction:**
The fraction \( \frac{8}{10} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
\[
\frac{8 \div 2}{10 \div 2} = \frac{4}{5}
\]
**Final Answer:**
\[
\frac{5}{10} + \frac{3}{10} = \frac{4}{5}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
When you add fractions with the same denominator, you simply add the numerators together while keeping the denominator the same. So, in our case, \(5 + 3 = 8\). Therefore, \( \frac{5}{10} + \frac{3}{10} = \frac{8}{10} \). Now, here’s a fun twist: You can simplify \( \frac{8}{10} \)! Both the numerator and denominator can be divided by 2, giving you \( \frac{4}{5} \). Who knew fractions could be so rewarding?
