To solve this without a calculator
change the fractions to improper fractions
41/5 - 32/9
Find a Least Common denominator
In this case, it is 45
to get 5 to 45 you multiply it by 9
to get 9 to 45 you multiply it by 5
41 * 9 / 5 * 9 - 32 * 5 / 9 * 5
369 / 45 - 160 / 45
subtract
209/45
This can't be simplified any further
Written into mixed number it is,
4 29/45
Hope this helps