To find the difference of given expression:
[tex] 5\frac{2}{3} -3\frac{1}{5} [/tex]
First step is to subtract the whole number5 and 3.
So, 5 - 3 = 2.
Now we can find the difference of fractions.
To subtract the fractions , we need to find the common denominator.
Common denominator of 3 and 5 is 15.
So, we need to make both the denominator equal to 15.
[tex] \frac{2}{3} =\frac{2*5}{3*5} =\frac{10}{15} [/tex]
Similarly, [tex] \frac{1}{5} =\frac{1*3}{3*5} = \frac{3}{15} [/tex]
Therefore, [tex] \frac{2}{3} -\frac{1}{5} =\frac{10}{15} -\frac{3}{15} [/tex]
=[tex] \frac{10-3}{15} [/tex]
= [tex] \frac{7}{15} [/tex]
So, the difference of given expression is [tex] 2\frac{7}{15} [/tex].
So, the correct choice is C.
