Question
14- What ts the sum? \[ \frac{1}{9}+\frac{5}{12}=\ldots \ldots \ldots \ldots . . \] a) \( 19 / 36 \) b) \( 21 / 6 \) c) \( 10 / 36 \) d) \( 1 / 36 \)
Ask by Martin Bradley. in Saudi Arabia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is \( \frac{19}{36} \).
Solution
To find the sum of \(\frac{1}{9} + \frac{5}{12}\), follow these steps:
1. **Find a Common Denominator:**
- The denominators are 9 and 12.
- The least common multiple (LCM) of 9 and 12 is 36.
2. **Convert Each Fraction to the Common Denominator:**
- \(\frac{1}{9} = \frac{1 \times 4}{9 \times 4} = \frac{4}{36}\)
- \(\frac{5}{12} = \frac{5 \times 3}{12 \times 3} = \frac{15}{36}\)
3. **Add the Converted Fractions:**
\[
\frac{4}{36} + \frac{15}{36} = \frac{4 + 15}{36} = \frac{19}{36}
\]
**Therefore, the correct answer is:**
**a) \(\frac{19}{36}\)**
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Extra Insights
To find the sum of \(\frac{1}{9}\) and \(\frac{5}{12}\), we need a common denominator. The least common multiple of 9 and 12 is 36. We convert both fractions: \(\frac{1}{9} = \frac{4}{36}\) (since \(1 \times 4 = 4\) and \(9 \times 4 = 36\)) \(\frac{5}{12} = \frac{15}{36}\) (since \(5 \times 3 = 15\) and \(12 \times 3 = 36\)) Now we add them together: \(\frac{4}{36} + \frac{15}{36} = \frac{19}{36}\) So the answer is a) \( \frac{19}{36} \).
