Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{1}{7} + \frac{1}{2} = \frac{9}{14}
\]
Solution
To add the fractions \(\frac{1}{7}\) and \(\frac{1}{2}\), follow these steps:
1. **Find a Common Denominator:**
The denominators are 7 and 2. The least common denominator (LCD) is the smallest number that both denominators divide into, which is 14.
2. **Convert Each Fraction:**
- Convert \(\frac{1}{7}\) to have the denominator 14:
\[
\frac{1}{7} = \frac{1 \times 2}{7 \times 2} = \frac{2}{14}
\]
- Convert \(\frac{1}{2}\) to have the denominator 14:
\[
\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}
\]
3. **Add the Fractions:**
\[
\frac{2}{14} + \frac{7}{14} = \frac{2 + 7}{14} = \frac{9}{14}
\]
So,
\[
\frac{1}{7} + \frac{1}{2} = \frac{9}{14}
\]
**Final Answer:**
\[
\frac{9}{14}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To add \( \frac{1}{7}+\frac{1}{2} \), we first need a common denominator. The least common multiple of 7 and 2 is 14. Now convert both fractions: \(\frac{1}{7} = \frac{2}{14}\) and \(\frac{1}{2} = \frac{7}{14}\). So, the equation becomes: \(\frac{2}{14} + \frac{7}{14} = \frac{9}{14}\). Thus, \( \frac{1}{7}+\frac{1}{2} = \frac{9}{14} \). And there you have it, a beautifully simplified fraction ready to shine!
