Questions: 11 5/12 + 1/12

11 5/12 + 1/12
Transcript text: $11 \frac{5}{12}+\frac{1}{12}$
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Solution

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Solution Steps

To solve the given mixed number addition problem, we need to first convert the mixed number to an improper fraction. Then, we add the two fractions together and simplify the result if possible.

Step 1: Convert the Mixed Number to an Improper Fraction

The mixed number \( 11 \frac{5}{12} \) can be converted to an improper fraction: \[ 11 \frac{5}{12} = 11 + \frac{5}{12} = \frac{11 \times 12 + 5}{12} = \frac{132 + 5}{12} = \frac{137}{12} \]

Step 2: Add the Fractions

Now, add the improper fraction \(\frac{137}{12}\) to \(\frac{1}{12}\): \[ \frac{137}{12} + \frac{1}{12} = \frac{137 + 1}{12} = \frac{138}{12} \]

Step 3: Simplify the Result

Simplify the fraction \(\frac{138}{12}\): \[ \frac{138}{12} = \frac{138 \div 6}{12 \div 6} = \frac{23}{2} \]

Final Answer

\[ \boxed{\frac{23}{2}} \]

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