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

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soccerchic96 | Student | eNotes Newbie

Posted February 1, 2009 at 3:20 AM via web

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

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cburr | Middle School Teacher | (Level 2) Associate Educator

Posted February 1, 2009 at 3:37 AM (Answer #1)

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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

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giorgiana1976 | College Teacher | Valedictorian

Posted February 1, 2009 at 3:56 AM (Answer #2)

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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)

0

10 -

9

10.

...

...

...

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ladyvols1 | High School Teacher | (Level 3) Senior Educator

Posted February 1, 2009 at 4:43 AM (Answer #3)

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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

Sources:

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dozer12 | Student , Grade 9 | eNotes Newbie

Posted February 8, 2009 at 3:45 PM (Answer #4)

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  1. 0.3
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revolution | College Teacher | Valedictorian

Posted August 8, 2010 at 10:38 PM (Answer #5)

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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.

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Yojana_Thapa | Student , Grade 10 | eNoter

Posted February 22, 2014 at 10:36 PM (Answer #6)

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

1/3 = 0.3333333

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atyourservice | Student , Grade 10 | eNoter

Posted April 14, 2014 at 9:20 PM (Answer #7)

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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`

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