comparing & ordering fractions

To compare fractions you can use the “Butterfly”

method or cross multiplication.

Use >, <, or =.

5

33

29 10<

<

“Butterfly” method

Use >, <, or =.

10

34

112 10>

>

“Butterfly” method

To order fractions you use the Least Common Denominator (LCD).

4

32

1

6

5

Order the fractions from least to greatest.

, ,

One way to compare or order fractions is to

express them with the same denominator.

The Least Common Denominator is the same as

saying Least Common Multiple of the denominators.

LCD = LCM

Use LCD

Step 1: Find the LCM of the denominators

3

2,

9

5,

12

7,

6

1

6, 12, 18, 24, 30, 36, 42, 48…

LCD = 36

Find the LCD:

12, 24, 36, 48 …

9, 18, 27, 36, 45 …

3, 6, 9, 12, 15, 18, 21, 24,

27, 30, 33, 36 …

Step 2: Write equivalent fractions.

6

1

36x 6

x 6 6 12

736x 3

x 3 21

9

536x 4

x 4 20 3

236x 12

x 1224

G LStep 3: Compare the numerators

6

1

36 6

12

73621

9

53620

3

23624

Use LCD

In order from greatest to least:

6

1,

9

5,

12

7,

3

2

How to Convert How to Convert Fractions to Fractions to

DecimalsDecimals

10023 This is the hundredths

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

2 3

.23

1000

567 This is the thousandths place so the 7 needs to be in the thousandths place.

5 6

.567

7

How to Convert How to Convert Fractions to DecimalsFractions to Decimals

10004 This is the

thousandths place so the 4 needs to be in the thousandths place.

0 0

.004

4

How to Convert How to Convert Fractions to DecimalsFractions to Decimals

102 This is the tenths place

so the 2 needs to be in the tenths place.

2

.2

How to Convert How to Convert Fractions to DecimalsFractions to Decimals

*Suppose You Can’t Suppose You Can’t Use A Denominator of Use A Denominator of

10?10?

65 DivideDivide

the

NumeratorNumeratorby the

DenominatorDenominator

*Suppose You Can’t Suppose You Can’t Use A Denominator Use A Denominator

of 10?of 10?

65

6 5.0.8

4 82

0

0

3

182

.83

32

3 2.0.6

1 82.6

*Suppose You Can’t Use Suppose You Can’t Use A Denominator of 10?A Denominator of 10?

*Now let’s Now let’s order. . .order. . .

87

106

43

.875 .75

.6

87

106

43

Least to Greatest