SEARCH HOME
Math CentralQuandaries & Queries

search

Question from judy:

please explain how to get from the decimal number .3437 to the fraction 11/32

Hi Judy,

There appears to be an error in your question as 11/32 = 0.34375 (not .3437 as you've indicated).

Now if you're trying to convert 0.34375 into its equivalent fraction form (in lowest terms) then you should proceed as follows. I will illustrate a similar example.

Convert 0.4375 into its equivalent fraction in lowest terms:

0.4375 = 4/10 + 3/100 + 7/1000 + 5/10000 Now find a common denominator (10000)
= 4000/10000 + 300/10000 + 70/10000 + 5/10000 Now combine into one fraction
= 4375/10000 Now reduce to lowest terms
= 7/16 Both numerator and denominator were divisible by 625

Hope this helps,
Leeanne

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS