Question

add. write your answer as a fraction or as a whole or mixed number.
$2 \frac{1}{12} + 9 \frac{5}{12} = \square$

Explanation:

Step1: Add the whole numbers

Add the whole number parts: \(2 + 9 = 11\)

Step2: Add the fractions

Add the fractional parts: \(\frac{1}{12} + \frac{5}{12} = \frac{1 + 5}{12} = \frac{6}{12}\)

Step3: Simplify the fraction and combine

Simplify \(\frac{6}{12}\) to \(\frac{1}{2}\), then combine with the whole number: \(11 + \frac{1}{2} = 11\frac{1}{2}\) (or we can also note that \(\frac{6}{12}\) simplifies to \(\frac{1}{2}\), but another way: since \(\frac{1 + 5}{12}=\frac{6}{12}=\frac{1}{2}\), and \(2 + 9 = 11\), so total is \(11\frac{1}{2}\). Alternatively, we can convert mixed numbers to improper fractions: \(2\frac{1}{12}=\frac{2\times12 + 1}{12}=\frac{25}{12}\), \(9\frac{5}{12}=\frac{9\times12+5}{12}=\frac{113}{12}\), then add: \(\frac{25}{12}+\frac{113}{12}=\frac{25 + 113}{12}=\frac{138}{12}\), simplify \(\frac{138}{12}\) by dividing numerator and denominator by 6: \(\frac{23}{2}=11\frac{1}{2}\))

Answer:

\(11\frac{1}{2}\)