How do you solve: 21 11/12 plus 17 5/12
The problem is \(21 \frac{11}{12} + 17 \frac{5}{12}\)
Add the whole numbers
\(21 + 17 = 38\)
Match up the fractions and make sure the denominators are the same (they are)
\(\frac{11}{12} + \frac{5}{12}\) \(= \frac{16}{12}\)
Break down the fraction
\(16\) ÷ \(12 = 1 \frac{4}{12}\)
Reduce-You need to find a common factor for both the numerator and denominator
\(4\) ÷ \(4\) \(= 1\)
\(12\) ÷ \(4 = 3\)
Combine everything
\(38 + 1\frac{1}{3} =39 \frac{1}{3}\)
Answer: \(39 \frac{1}{3}\)
If you would like to calculate 21 11/12 + 17 5/12, you can do this using the following steps:
21 11/12 + 17 5/12 = 263/12 + 209/12 = (263 + 209) / 12 = 472/12 = 118/3 = 39 1/3
The correct result would be 39 1/3.