To express the remainder as a fraction in the division of 64 by 30, you first need to perform the division to find out how many times 30 fits into 64 and what is left over.
When you divide 64 by 30, you can see that 30 goes into 64 two times because 30 x 2 = 60. After subtracting 60 from 64, you get a remainder of 4.
Now, to express the remainder (which is 4) as a fraction, you place it over the divisor (which is 30). Therefore, the fraction for the remainder is:
4/30
This fraction can be simplified. Both the numerator and the denominator can be divided by 2, giving you:
2/15
So, when you write the final answer for the division of 64 by 30, including the remainder as a fraction, it can be expressed as:
2 2/15 (which means two whole parts and a fraction of two-fifteenths).