Answer:
Option C - [tex]2\frac{1}{6}-5\frac{2}{3}=-3\frac{1}{2}[/tex]
Step-by-step explanation:
Given : Expression [tex]2\frac{1}{6}-5\frac{2}{3}[/tex]
To find : Perform the indicated operation in the expression ?
Solution :
Expression [tex]2\frac{1}{6}-5\frac{2}{3}[/tex]
Write mixed fraction into fraction,
[tex]2\frac{1}{6}-5\frac{2}{3}=\frac{13}{6}-\frac{17}{3}[/tex]
Taking Least common denominator,
[tex]2\frac{1}{6}-5\frac{2}{3}=\frac{13-34}{6}[/tex]
[tex]2\frac{1}{6}-5\frac{2}{3}=-\frac{21}{6}[/tex]
[tex]2\frac{1}{6}-5\frac{2}{3}=-\frac{7}{2}[/tex]
Write improper fraction into mixed fraction,
[tex]2\frac{1}{6}-5\frac{2}{3}=-3\frac{1}{2}[/tex]
Therefore, Option C is correct.
