Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator? 4m to 4.8m

1 Answer
Feb 4, 2018

#(5 "m")/(6 "m")#

Explanation:

Given   #(4 "m") / (4.8  "m")#

1) Write the ratio as whole numbers
The easiest way to do this is to clear the decimal by multiplying the numerator and the denominator by #10#.
You can reduce the fraction later.

#(40 "m")/(48 "m")#

2) Reduce the fraction to its simplest form
Cancel out #8# from the top and the bottom

#(5 "m")/(6 "m")# #larr# answer

This answer means that the numerator and denominator of the given fraction #(4 "m") / (4.8  "m")# are in a #5:6# ratio relationship with each other.

Check

Is #(4) / (4.8)# equal to #(5)/(6)#  #?#

Cross multiply
#(4)(6)# should be equal to #(5)(4.8)#

#24# is equal to #24.0#

#Check#