Method 1 : Use the base 10, 100, 1000 system to find the decimal. Make sure you mark 0.3 with a repeating 3.

Methond 2: Divide the numerator of the fraction by the denominator (e.g. 4/9 = 4 ÷ 9=0.44444) Round the answer to the desired precision.

Method 3: 3/8 you would find by what factor you multiply 8 to get a multiple of 10, and then use the same factor to multiply 3.

Thus 8*125 = 1000 and 3*125 = 375 so we get 375/1000 = 0.375. So 1 divide by 3 will give you 0.3 with a repeating 3. round it off and the answer is 0.3

**Further Reading**

### Videos

A fraction is really a division problem. One-third means ONE *divided into* THREE parts. So, to find the decimal equivalent, do the division.

1 divided by 3 = 0.33333333 etc.

In a case like this, where the decimal is repeating, you can either *round it *to a certain decimal place (.3, .33, .333 etc) or you can draw a *line over the part that repeats* (in this case 3).

Not all decimal equivalents of fractions involve a repeating pattern. For example,

1/2 = .5

1/4 = .25

1/5 = .2

1/8 = .125