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# Rewriting decimals as fractions: 0.15

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction. Created by Sal Khan.

## Want to join the conversation?

• what if i have a number in the thousands place also?
• It's just the same as the tenths and hundredths..you would do the problem the same
• what? i have no clue what he means! pls help me
• Let's say you have the decimal 0.66 and you want to make it a fraction. Well, how do you say it? You say zero point six six, or sixty six hundredths, which is:
66/100 . . .
Now simplify:
33/50
• what if the number was bigger than the denominator
• You make the fraction a mixed number. For example: 24/9. 9 goes into 24 2 times right? So that's the whole number next to the fraction. 6 is left because 9 X 2=18 and 18 is 6 away from 24. Now 6 is the numerator. So now the answer is 2 6/9. Understand?
• How do you divide a neverending decimal?
• There is a way but as you say, a never ending decimal has no end so you can't get a answer that is not never ending when dividing.
e.g pi divide ? would equal 0.?
• I am so confused. Can someone please explain this to me?🤔
• Okay. If you are confused, let me tell you more.
If you have a fraction that has the numbers 10, 100,* or *1,000 in the denominator, it also has a fraction form:
.0 = tenths
.00 = hundredths
.000 = thousandths

Lets say your numerator is 19.*
The full fraction is *19/100.*

This would be listed as *0.19
because
.00 = your 100th (19/100) so nineteen would take the place of the zeros:
0.19
If this still doesn't make sense, say the fraction aloud: nineteen hundredths.* That would be the same as if you said: *0.19 aloud.
• what if i have a number in the tenths and tens place would that be the same thing
• No. For example 32.5
The 3 would be in the tens place and the 5 would be in the tenths place. The tenths is used for number after the decimal point. Then, if we have 32.51, 5 would be the tenths place and 1 would be the hundredths place etc.
• How can you convert a repeating decimal into a percent?
(1 vote)
• To convert a decimal into a percent all you have to do is multiply by 100.
Example:
0.55 * 100 = 55 Percent
• I have a question how to convert ( -0.38 the 8 is repeating) into a fraction ? THX
• Like what if the number is -0.5 with the line over the top
• -0.5 repeated can be written as -5/9 in fraction form.