How do you change a fraction into a decimal? e.g 1/3=_.___

Expert Answers
cburr eNotes educator| Certified Educator

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

ladyvols1 eNotes educator| Certified Educator

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

maria-vivanco | Student

A fraction just shows a number being divided by another number so to find the decimal of 1/3 you divide 1 by 3 and would get .33 

taangerine | Student

Using long division, divide 1 by 3. 1 is the dividend, while 3 is the divisor. Once you divide, the answer should be 0.333333333333333. 

*You can also divide 1 by 3 on your calculator and you will get the same thing. The 3 is repeating. 

lv1997 | Student

Fractions are easily changed into decimals.

All that is required is that you take the nominator (the number on top) and divide it by the denominator (the number on the bottom). For example: 1/3

1 / 3 = 0.333333333333333333333333333333333333333333333333

Wiggin42 | Student

Fractions are just a way to write division problems. 

1/3 is the same as 1 divided by 3. The answer is 0.3333...

Certain decimal to fraction conversions should be memorized for the sake of convenience: 

.5 = 1/2

.25 = 1/4

.75 = 3/4 

.125 = 1/8

.375 = 3/8

.33 = 1/3

.66 = 2/3 

zumba96 | Student

A fraction is division. Divide the fraction to find the answer

For example, 1/3, 1 divided by 3 equals .333333 Therefore you can achieve the decimal value

This works for others as well

1/2=.5

1/4=.25

atyourservice | Student

1/3   just divide the number at the top by the number at the bottom.

`1/3 = 1-:3=.3333333 `

another example would be `3/5=3-:5=.6`

Yojana_Thapa | Student

you have to divide 1 by 3. 3 goes into 1 o times

1/3 = 0.3333333

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revolution | Student

1/3 means 1 over three or one divided by 3

1/3= 0.33333333...... and so on and so forth

To limit the number from repeating again, put a dot above the three that it repeats again like 0.33 (you can put a dot on the second three to show that 3 repeats itself again continuously )

1/3 is like a repeating or reoccurring decimal.

dozer12 | Student
  1. 0.3
giorgiana1976 | Student

You have to divide 1 to 3

1 is smaller than 3, so 3 goes to 1, 0 times

After the first 0, we put dot, to separate decimals from the entire part

We are multiplying 0 with 3, and the result we are puting under 1 digit, after that we'll subtract 0 from 1. The result will be 1.

After that, we are adding to result(after equal) separating dot. When we are putting dot at result, same time, we are putting a 0 near 1. After that we'll divide 3 to 10. The result will be 3. We are multiplying again, 3x3, and the 9 we are putting under 10 and then subtracting.

 

1:3=0.33...3=0.(3)

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