What is one-fourth of four sevenths

1/4*4/7 = 1/7

If you want the simplest answer you should first cross out the 2 fours and put them as one because they both have a factor of 4 and go into 4, 4 times, so 1*1 is 1 and 7*1 is 7 that 1/7.

1/4 x 4/7

do the top numbers first. 1 x 4 is 4do bottom numbers next 4 x 7 is 28

that leaves you with 4/28. But you have to reduce.

4/28 = 2/14 = 1/7 (notice I just cut both the top and bottom numbers in half each time I reduced until I couldn't reduce any more).

So, final answer is 1/7