What is .2375 converted to a fraction?

The first thing to remember about decimal and fractional representations of a number is that they are often the same thing, just written in a different way (though sometimes they are only similar, not exactly the same).

In this case, 0.2375 is another way of saying 2,375/10,000 (the first number to the right of the decimal is the tenths place, then the hundreths place, etc).

2375/10000 can be reduced, though, by using its greatest common divisor (GCD); 125 happens to be that GCD, so we divide both the the numerator and denominator by 125.

  • 2375/125 = 19

10000/125 = 80

Thus the decimal 0.2375 is equal to the fraction 19/80.

Updated on Wednesday, May 30 2012 at 01:01AM EDT