Moreno Hobbs
10/17/2023 · Elementary School
) \( \frac{7}{6}+\frac{2}{4}+\frac{1}{12}= \)
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Tutor-Verified Answer
Step-by-step Solution
To solve the expression \( \frac{7}{6} + \frac{2}{4} + \frac{1}{12} \), we first need to find a common denominator for the fractions.
The denominators are 6, 4, and 12. The least common multiple (LCM) of these numbers is 12.
Now, we will convert each fraction to have a denominator of 12:
1. For \( \frac{7}{6} \):
\[
\frac{7}{6} = \frac{7 \times 2}{6 \times 2} = \frac{14}{12}
\]
2. For \( \frac{2}{4} \):
\[
\frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12}
\]
3. For \( \frac{1}{12} \):
\[
\frac{1}{12} \text{ remains as } \frac{1}{12}
\]
Now we can add the fractions:
\[
\frac{14}{12} + \frac{6}{12} + \frac{1}{12} = \frac{14 + 6 + 1}{12} = \frac{21}{12}
\]
Next, we can simplify \( \frac{21}{12} \):
\[
\frac{21}{12} = \frac{21 \div 3}{12 \div 3} = \frac{7}{4}
\]
Thus, the final answer is:
\[
\frac{7}{4}
\]
Quick Answer
The final answer is \( \frac{7}{4} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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