Question
6. \( \frac{5}{6}-\frac{1}{4}-\frac{3}{12}= \)
Ask by Rodriguez Flynn. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{5}{6} - \frac{1}{4} - \frac{3}{12} = \frac{1}{3}
\]
Solution
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The Deep Dive
To solve \( \frac{5}{6}-\frac{1}{4}-\frac{3}{12} \), we begin by finding a common denominator. The least common multiple of 6, 4, and 12 is 12. Now, convert each fraction: - \( \frac{5}{6} = \frac{10}{12} \) - \( \frac{1}{4} = \frac{3}{12} \) - \( \frac{3}{12} = \frac{3}{12} \) Now we perform the subtraction: \[ \frac{10}{12} - \frac{3}{12} - \frac{3}{12} = \frac{10 - 3 - 3}{12} = \frac{4}{12} = \frac{1}{3} \] So, \( \frac{5}{6}-\frac{1}{4}-\frac{3}{12} = \frac{1}{3} \).