Answer:
A.) -5 1/6
Step-by-step explanation:
I have to assume that this is a mixed fraction meaning:
-[tex]2\frac{1}{6} -(-7\frac{1}{3})[/tex]
First I will convert this mixed fractions into improper fractions to make the math easier:
[tex]\frac{(-2)(6)+1}{6}+\frac{(3)(7)+1}{3}[/tex]
[tex]-\frac{13}{6} +\frac{22}{3}=\frac{(-13)(3)+(22)(6)}{(6)(3)}=\frac{-39+132}{18}=\frac{93}{18}=\frac{-31}{6}[/tex]
How many times does 6 go into 31? 6x5=30 which leaves remainder 1 and so our answer will be [tex]-\frac{31}{6}= -5\frac{1}{6}[/tex]