comparing & ordering fractions
DESCRIPTION
Comparing & Ordering Fractions. To compare fractions you can use the “Butterfly” method or cross multiplication. Use > , < , or =. “Butterfly” method. 9. . >. - PowerPoint PPT PresentationTRANSCRIPT
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