What is the value of \(4\frac{1}{3}+2\frac{3}{4}-3\frac{5}{6}\)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(3\frac{1}{4}\)
Change each mixed fraction to an improper fraction, then use the LCM of the denominators. The LCM of 3, 4 and 6 is 12.
\(\displaystyle4\frac{1}{3}=\frac{13}{3}=\frac{52}{12}\)
\(\displaystyle2\frac{3}{4}=\frac{11}{4}=\frac{33}{12}\)
\(\displaystyle3\frac{5}{6}=\frac{23}{6}=\frac{46}{12}\)
\(\displaystyle\frac{52+33-46}{12}=\frac{39}{12}=\frac{13}{4}=3\frac{1}{4}\)