What is the value of \(3\frac{1}{2}-1\frac{2}{3}+2\frac{1}{4}\)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(4\frac{1}{12}\)
With mixed numbers, the whole-number parts and the fraction parts can be worked separately, keeping each sign, and then put together.
Whole parts: \(3-1+2=4\)
Fraction parts: \(\displaystyle\frac{1}{2}-\frac{2}{3}+\frac{1}{4}=\frac{6-8+3}{12}=\frac{1}{12}\)
Total \(\displaystyle=4+\frac{1}{12}=4\frac{1}{12}\)