Washington Frazier
01/14/2023 · Middle School
11. The sum of \( 1 / 6,2 / 3 \), and \( 1 / 4 \) is A. \( 11 / 12 \). B. \( { }^{2 / 72} \), or \( 1 / 36 \). C. \( 13 / 12 \), or \( 11 / 12 \). D. \( { }^{4} / 12 \), or \( 1 / 3 \).
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve this problem, we need to add the fractions \( \frac{1}{6} \), \( \frac{2}{3} \), and \( \frac{1}{4} \). To do this, we need a common denominator. The least common multiple (LCM) of 6, 3, and 4 is 12.
Now, we convert each fraction to an equivalent fraction with a denominator of 12:
- \( \frac{1}{6} \) becomes \( \frac{1 \times 2}{6 \times 2} = \frac{2}{12} \)
- \( \frac{2}{3} \) becomes \( \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \)
- \( \frac{1}{4} \) becomes \( \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \)
Now we can add the fractions:
\( \frac{2}{12} + \frac{8}{12} + \frac{3}{12} = \frac{2 + 8 + 3}{12} = \frac{13}{12} \)
So the sum of \( \frac{1}{6} \), \( \frac{2}{3} \), and \( \frac{1}{4} \) is \( \frac{13}{12} \).
The correct answer is:
C. \( \frac{13}{12} \), or \( \frac{11}{12} \).
However, there seems to be a mistake in the options provided. The correct answer is \( \frac{13}{12} \), not \( \frac{11}{12} \). None of the given options are correct.
Quick Answer
The sum is \( \frac{13}{12} \).
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