What is the result of subtracting 3 5/6 from 4 1/5?

To solve the problem of subtracting 3 5/6 from 4 1/5, we first need to convert both mixed numbers into improper fractions.

Starting with 4 1/5, we convert it by multiplying the whole number by the denominator and adding the numerator:

4 x 5 + 1 = 20 + 1 = 21, so 4 1/5 becomes 21/5.

Next, for 3 5/6, we also convert it:

3 x 6 + 5 = 18 + 5 = 23, so 3 5/6 becomes 23/6.

Now we can set up the subtraction:

21/5 - 23/6.

To perform the subtraction, we need a common denominator. The least common multiple of 5 and 6 is 30. We convert both fractions:

21/5 becomes (21 x 6)/(5 x 6) = 126/30.

23/6 becomes (23 x 5)/(6 x 5) = 115/30.

Now we can subtract:

126/30 - 115/30 = (126 - 115)/30 = 11/30