Question

Find the value of 5/32 divided by 25/4. show your reasoning

Answer 1

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