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Conversions

Decimals to Fractions

and

Fractions to Decimals

How to Convert Decimals to Fractions

Use the place value of the last digit in the number to determine what the denominator of the fraction will be.


.24


.5The 5 is in the tenths place

105


.84The 4 is in the hundredths place

10084

What if there is a whole number before the decimal point?

1.589The 9 is in the thousandths place

10005891

25.5The 5 is in the tenths place

10525

What if there is a whole number before the decimal point?

How to Convert Fractions to Decimals

10023 This is the hundredths

place so the 3 needs to be in the hundredths place.

2 3

.23


1000567 This is the thousandths

place so the 7 needs to be in the thousandths place.

5 6

.567

7




0 0

.004

4

What if there is a whole number before the fraction?



5 6

3.567

7

3

3


100034

24.034

24This is the thousandths place so the 4 needs to be in the thousandths place.

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