## Fractions to Decimals

04/15/2013

There are two official ways to convert fractions to decimals, and an alternate of one of the ways. The first way is to convert the fraction to an equivalent multiple of ten. After that, the conversion is easy: 3/10=.3, 55/100=.55, etc. However, the first step is often hard to do. For example, if one has the fraction 3/4 and wants to use the first way, then they would first multiply the fraction by 10/10, or 1 in a different form. The fraction 30/40 could then be multiplied by .25/.25, still one. This would then make the decimal over ten. But the number thirty doesn't quarter as easily. Long division, extensive mental math, or a calculator would be required to make the fraction equivalent, and many problems are more complex.

However, there is a second way. The second way also requires long division, extensive mental math, or a calculator, but it doesn't have any of the extra "multiple of 10" steps. This method is to simply divide the denominator into the numerator, or divide the numerator by the denominator. This method always works, but is sometimes complicated. Nevertheless, it is often easier than the multiples of 10 method, except when the fraction is already in that form.