Step-by-step explanation:
You have 3/5 of an apple pie" means you have 3 pieces of the 5-piece pie
"You divide the remaining pie into 5 equal slices." means
(3/5 pie) / 5
The math:
(3/5 pie) / 5
is also
(3/5 pie) * (1/5) [to divide by fraction 5/1, invert to 1/5 and multiply]
is also (1/5) * (3/5 pie)
[This means 1/5 of the 3/5 of a pie that is left of"]
So,
each slice is (1/5)*(3/5) pie = 3/25 pie [multiply numerators and denominators]
These ones always feel weird. But we will read the problem directly and do what it says.
So it is 3/5 divided by 5.
Or 3/5/5.
But that looks really weird, so lets think of it like multiplying by 1/5 instead (which is the same as dividing by 5)
So, (3/5) * (1/5) which equals 3/25.
Everyone gets 3 twenty fifths of a pie.
