Comparing Fractions and Decimals

Grade 5

Lesson Objectives

6.A.1.d Compare and order fractions with or without using symbols (>,

Unitedstreaming Video ClipThere is a great video clip that can be used with this lesson. To use it:Log into Unitedstreamingwww.unitedstreaming.comDo a search for this Movie: Discovery Math: Number Theory (3-5) Discovery Channel SchoolThen choose this clip: Relations Among Numbers

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

Lets Review

Comparing fractionsConverting fractions to decimalsComparing decimalsConverting decimals to fractions

Comparing FractionsIn 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 Fractions3 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 DecimalsWhen 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 greatestProblemsAnswers1.134, 1.341, 1.10314.07, 14.072, 14.1723.963, 3.63, 3.931.103, 1.134, 1.34114.072, 14.172, 14.073.63, 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==

.08How many HUNDREDTHS are there? The 8 goes in the HUNDREDTHS place.

Converting Fractions to DecimalsIf 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==Lets try a few! 20 100

40 100

10 25====.75.20.40

Converting Decimals to FractionsConverting 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=Lets 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