Answer:
40/27 or
1 and 13/27
Explanation:
Use Keep-Change-Flip to divide fractions.
Problem:
5/9 ÷ 3/8
KEEP the first fraction, the 5/9, just copy it exactly, no changes.
CHANGE the ÷ to ×
5/9 ×
FLIP the second fraction, the 3/8. Flip it over (reciprocal)
5/9 × 8/3
Now do this problem. You can "cancel" (which is really dividing) or multiply straight across (top×top, bottom×bottom)
5/9 × 8/3
= 40/27
This cannot be reduced. It is a perfectly good answer just like this. But since there is a larger number on top, your teacher/class/book/program, might want you to change it to a mixed number.
40/27 = 1 13/27