This document discusses comparing fractions and decimals. It reviews how to compare fractions by finding the least common denominator to make them equivalent, and how to compare decimals by looking at the place value of the digits. It also covers converting between fractions and decimals by writing the fraction or decimal in terms of tenths, hundredths, etc. Sample problems are provided to practice comparing fractions and decimals, as well as converting between the two number representations.

1. Comparing
Fractions and Decimals
Grade 5

2. Lesson Objectives
• 6.A.1.d Compare and order fractions with or
without using symbols (>,<,=)
• 6.A.1.c Identify and determine equivalent
forms of proper fractions
• 3.A.1.a Use technology tools, including
software and hardware, from a range of
teacher -selected options to learn new
content or reinforce skills.

3. Unitedstreaming Video Clip
• There is a great video clip that can be
used with this lesson. To use it:
1. Log into Unitedstreaming
– www.unitedstreaming.com
2. Do a search for this Movie:
– Discovery Math: Number Theory (3-5)
Discovery Channel School
3. Then choose this clip:
– Relations Among Numbers

4. Fractions and Decimals
Discovery Math: Number Theory (3-5) Discovery Channel
School. 2005 http://www.unitedstreaming.com/>

5. Let’s Review
• Comparing fractions
• Converting fractions to decimals
• Comparing decimals
• Converting decimals to fractions

6. Comparing Fractions
• In order to compare fractions, the
denominators for each fraction
need to be the same.
• Find the Least Common Multiple
• Make equivalent fractions

7. Comparing Fractions
3 2 7
4 , 5 , 20
4: 4, 8, 12, 16, 20
5: 5, 10, 15, 20, 25
20: 20
LCM = 20

8. Comparing Fractions
3 15 2 8 7 7
4 = 20 5 =20 20 =20
Now order these fractions from
least to greatest.
7 2 3
20 4
5

9. Comparing Fractions
Order these fractions
6 1 4
10 2
5
1 6 4
2 10
5

10. Comparing Decimals
• When comparing decimals, you have to
look at the whole numbers.
• If the whole numbers are the same,
then look at the decimal in the tenths
place.
• Keep looking at the digits until you can
identify which is the greatest or least.

11. Comparing Decimals
Practice Time! Order from least to greatest
Problems Answers
1.134, 1.341, 1.103 1.103, 1.134, 1.341
14.072, 14.172, 14.07 14.07, 14.072, 14.172
3.963, 3.63, 3.93 3.63, 3.93, 3.963

12. Converting Fractions to
Decimals
Think about how you say the fraction.
How many TENTHS are
6
= .6 there? The 6 goes in the
10 TENTHS place.
How many HUNDREDTHS
8
= are there? The 8 goes in the
100 .08 HUNDREDTHS place.

13. Converting Fractions to
Decimals
If the denominator is not a tenth or
hundredth, you will need to make an
equivalent fraction using a 10 or 100
as the denominator.
4 8
= = .8
5 10

14. Converting Fractions to
Decimals
Let’s try a few!
3 75
= = .75
4 100 20
4 = = .20
20 100
10 40
= = .40
25 100

15. Converting Decimals to Fractions
• Converting decimals to fractions is the
opposite of converting fractions to
decimals.
• Once again, read the fraction.
• What do you hear?
Tenths or hundredths?

16. Converting Decimals to
Fractions
Think about how you say the decimal.
Read the decimal. The 6 is
6
.6 = 10
in the TENTHS place, so
the denominator is 10.
8 What place is the 8 in? The
.08 = 100 HUNDREDTHS place. The
denominator is 100.

17. Converting Decimals to fractions
Let’s try a few!
6 60
.60 = 10 or
16100
.16 =
100
40 4
.40 = or 10
100

18. Comparing
Fractions and Decimals
In order to compare fractions
and decimals, you have to use all
of the skills you have learned and
reviewed in this session. You can
not compare fractions and
decimals. You have to convert
them all to either fractions or all
to decimals.

19. Comparing
Fractions and Decimals
Compare and order these fractions and decimals.
4 4
.60 10
1 20
2 .75 .4