the notebook
[tex]9 \frac{1}{5} - 3 \frac{2}{3} = \\ \\ 9 \frac{3}{15} -3 \frac{10}{15} = \\ \\ 8 \frac{18}{15} - 3 \frac{10}{15} = \\ \\ 5 \frac{8}{15} [/tex]
explanation
We have a mixed operation with numbers .
Each number is a whole and fractions .
Then we subtract the total from the whole and fractions of fractions
[tex]9 \frac{1}{5} [/tex] the number of mixed
9 integer
[tex] \frac{1}{5} [/tex] fraction
[tex]9 \frac{1}{5} - 3 \frac{2}{3} = \\ \\ 3 + 6 \frac{1}{5} - 3 - \frac{2}{3} = \\ \\ 6 \frac{1}{5} - \frac{2}{3} =[/tex]
by subtracting fractions must have the same value in the denominator .
[tex]6 \frac{1*3}{5*3} - \frac{2*5}{3*5} = \\ \\ 6 \frac{3}{15} - \frac{10}{15} =[/tex]
3/15 < 10/15 We have to take the total 1 to subtract it was possible
[tex]5 + 1 \frac{3}{15} - \frac{10}{15} = \\ \\ 5 + \frac{15}{15} + \frac{3}{15} - \frac{10}{15} = \\ \\ 5 \frac{18}{15} - \frac{10}{15} = 5 \frac{8}{15} [/tex]