Answer:
Step-by-step explanation:
we can use reciprocals to solve this
(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025
rewrite
so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication
heres an example
x/2=0.5x
y/4=0.25y
so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y
same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)
now we multiply numerator by numerator to get 20
and we multiply denominator by denominator to get 800
20/800 = 2/80 = 1/40
