First, convert your mixed number into a fraction by multiplying 4 and 6 and adding that to the numerator:
4 1/6
4 x 6 = 24
24 + 1 = 25
4 1/6 = 25/6
Note that any whole number can be put over one and still be that number. Therefore:
10 = 10/1
Now, our problem is:
25/6 / 10/1
When you divide fractions, that is the same as multiplying the reciprocal:
25/6 x 1/10
Multiply both the numerator and denominator straight across to get:
25/60
Divide both sides by the GCF, 5, to get:
5/12
This cannot be simplified any further, so this is the final answer.
Hope this helps!
~ArchimedesEleven