This document provides a lesson on converting between decimals and fractions. It explains how to determine the denominator based on the place value of the last digit and includes examples for both conversions. Additionally, it addresses how to handle whole numbers in the conversions.

1. ConversionsConversions
Decimals to Fractions
and
Fractions to Decimals

2. What are weWhat are we
learning?learning?
In this lesson you will learn how to
convert
decimals to fractionsdecimals to fractions
and
fractions to decimalsfractions to decimals

3. How to Convert Decimals toHow to Convert Decimals to
FractionsFractions
Use the place value of the last digit in the
number to determine what the denominator
of the fraction will be.

4. How to Convert Decimals toHow to Convert Decimals to
FractionsFractions
.24

5. How to Convert Decimals toHow to Convert Decimals to
FractionsFractions
.5
The 5 is in the tenths
place
10
5

6. How to Convert Decimals toHow to Convert Decimals to
FractionsFractions
.84
The 4 is in the
hundredths place
100
84

7. What if there is a whole numberWhat if there is a whole number
before the decimal point?before the decimal point?
1.589
The 9 is in the
thousandths place
1000
5891

8. 25.5
The 5 is in the tenths
place
10
5
25
What if there is a whole numberWhat if there is a whole number
before the decimalbefore the decimal point?point?

9. How to Convert Fractions toHow to Convert Fractions to
DecimalsDecimals
100
23 This is the hundredths
place so the 3 needs to
be in the hundredths
place.
2 3
.23

10. How to Convert Fractions toHow to Convert Fractions to
DecimalsDecimals
1000
567 This is the thousandths
place so the 7 needs to
be in the thousandths
place.
5 6
.567
7

11. How to Convert Fractions toHow to Convert Fractions to
DecimalsDecimals
1000
4 This is the thousandths
place so the 4 needs to
be in the thousandths
place.
0 0
.004
4

12. How to Convert Fractions toHow to Convert Fractions to
DecimalsDecimals
10
2 This is the tenths place
so the 2 needs to be in
the tenths place.
2
.2

13. What if there is a whole numberWhat if there is a whole number
before the fraction?before the fraction?
1000
567 This is the thousandths
place so the 7 needs to
be in the thousandths
place.
5 6
3.567
7
3
3

14. How to Convert Fractions toHow to Convert Fractions to
DecimalsDecimals
1000
34
24.034
24
This is the thousandths
place so the 4 needs to
be in the thousandths
place.

15. Suppose You CanSuppose You Can’’t Use At Use A
Denominatorof 10?Denominatorof 10?
6
5 DivideDivide
the
NumeratorNumerator
by the
DenominatorDenominator

16. Suppose You CanSuppose You Can’’t Use At Use A
Denominatorof 10?Denominatorof 10?
6
5
6 5.0
.8
4 8
2
0
0
3
18
2
.83

17. Suppose You CanSuppose You Can’’t Use At Use A
Denominatorof 10?Denominatorof 10?
3
2
3 2.0
.6
1 8
2
.6

18. Try Some . . .Try Some . . .
8
7
50
5
10
6
4
3
16
12
40
3

19. Try Some . . .Try Some . . .
.35 .25 .95
.6 .875 .125