+0

# i need a better way

+2
439
4
+578

i need a way to convert a decimal into a fraction, because decimal to fraction calculators are just terrible

an example is that i need a way to convert -1.164 into a fraction.

will someone give me a good way to do so?

Nov 8, 2017

### 4+0 Answers

#1
+107156
+3

-1.164

Forget  the -1 part for a second

.164  =   164 / 1000  =    82 / 500  =  41 / 250

Since 41 is a prime number [ and doesn't divide 250 ] we can stop at this point

So.....  - .1.164  =

- [ 1  + 41/ 250 ]    convert a mixed number to a fraction

- [   (250 * 1  + 41 )  / 250 ]   =   -  291/ 250

Hope that helps......!!!!

Nov 8, 2017
edited by CPhill  Nov 8, 2017
#2
+578
+3

can 291/250 be reduced any?

Nov 8, 2017
#3
+107156
+3

Note

291  =  3 * 97

250  =  5 * 5 * 5 * 2

Since they have no factors in common, bubbletanks, the fraction is in lowest terms !!!!!

This will always happen when we reduce the decimal part represented as a fraction to lowest terms, first,  like I did.....!!!!,

Nov 8, 2017
#4
+578
+2

okay :(

Nov 8, 2017