First, we must convert the mixed numbers into improper fractions. We can do this by multiplying the whole number by the denominator and adding the numerator. This number will be our numerator.
9*6+1=54+1=55
So, 9 1/6=55/6
4*6+5=24+5=29
So, 4 5/6=29/6
Now that we have the same denominator for both numbers, we can easily subtract the numerators.
55/6-29/6=26/6
Because our question was given as a mixed number, we should convert 26/6 into a mixed number. We know that 6*4=24, so we have 4. Since 26-24=2, this means that the 2 will be our numerator. So we have 4 2/6. Simplifying this, we get 4 1/3.
