Question
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Answer
\[
\frac{5}{22} + \frac{7}{22} = \frac{6}{11}
\]
Solution
To add the fractions \(\frac{5}{22}\) and \(\frac{7}{22}\), follow these steps:
\[
\frac{5}{22} + \frac{7}{22} = \frac{5 + 7}{22} = \frac{12}{22}
\]
You can simplify \(\frac{12}{22}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\[
\frac{12 \div 2}{22 \div 2} = \frac{6}{11}
\]
**Final Answer:**
\[
\frac{5}{22} + \frac{7}{22} = \frac{6}{11}
\]
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Simplify this solution Beyond the Answer
To add these fractions, you simply combine the numerators while keeping the denominator the same, since both fractions have a common denominator of 22. So, you add the numerators: \[ \frac{5 + 7}{22} = \frac{12}{22} \] Now, you can simplify the fraction by finding the greatest common divisor of 12 and 22, which is 2. Dividing both the numerator and the denominator by 2 gives: \[ \frac{12 \div 2}{22 \div 2} = \frac{6}{11} \] So, \( \frac{5}{22} + \frac{7}{22} = \frac{6}{11} \).
