Comparing Fractions and Decimals

Grade 5

Created by April Ferrell

Lesson Objectives

• SOL 5.2 The student will:a) recognize and name fractions in their

equivalent decimal form and vice versa; andb) compare and order fractions and

decimals in a given set from least to greatest and greatest to least.

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

Fractions and Decimals

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

Let’s Review

• Comparing fractions• Converting fractions to decimals• Comparing decimals• Converting decimals to fractions

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

Comparing Fractions

3 2 7 4 , 5 , 20

4: 4, 8, 12, 16, 205: 5, 10, 15, 20, 2520: 20 LCM = 20

Comparing Fractions

3 15 2 8 7 74 20 5 20 20 20

Now order these fractions from least to greatest.

= = =

3 4

2 5

7 20

Comparing Fractions

Order these fractions

4 5

1 2

6 10

6 10

4 5

1 2

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.

Comparing DecimalsPractice Time! Order from least to greatest

Problems Answers

1.134, 1.341, 1.103

14.07, 14.072, 14.172

3.963, 3.63, 3.93

1.103, 1.134, 1.341

14.072, 14.172, 14.07

3.63, 3.93, 3.963

Converting Fractions to Decimals

6 10

8 100

Think about how you say the fraction.

How many TENTHS are there? The 6 goes in the TENTHS place.

.6=

=.08

How many HUNDREDTHS are there? The 8 goes in the HUNDREDTHS place.

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 5

= 8 10

= .8

Converting Fractions to Decimals

4 20

75 100

3 4

==

Let’s try a few!

20 100

40 100

10 25

=

=

=

=

.75

.20

.40

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?

Converting Decimals to Fractions

6 10

8 100

Think about how you say the decimal.

Read the decimal. The 6 is in the TENTHS place, so the denominator is 10. .6 =

=.08What place is the 8 in? The HUNDREDTHS place. The denominator is 100.

Converting Decimals to fractions

60 100

or=

Let’s try a few!

16 100

40 100

=

= or

.60

.16

.40

6 10

4 10

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.

Comparing Fractions and Decimals

.60 4 10

4 20

Compare and order these fractions and decimals.

1 2 .75 .4