250 likes | 570 Views
Comparing & Ordering Fractions. To compare fractions you can use the “Butterfly” method or cross multiplication. Use > , < , or =. “Butterfly” method. 9. <. 10. <. Use > , < , or =. “Butterfly” method. 12. 10. >. >.
E N D
Comparing & Ordering Fractions
To compare fractions you can use the “Butterfly” method or cross multiplication.
Use >, <, or =. “Butterfly” method 9 < 10 <
Use >, <, or =. “Butterfly” method 12 10 > >
To order fractions you use the Least Common Denominator (LCD).
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
Find the LCD: 6, 12, 18, 24, 30, 36, 42, 48… 12, 24, 36, 48 … 9, 18, 27, 36, 45 … 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 … LCD = 36
Step 2: Write equivalent fractions. x 6 6 21 x 3 36 36 x 6 x 3 x 4 20 24 x 12 36 36 x 4 x 12
Step 3: Compare the numerators G L 21 6 36 36 24 20 36 36
Use LCD In order from greatest to least:
23 This is the hundredths place so the 3 needs to be in the hundredths place. 100 How to Convert Fractions to Decimals 3 2 .23
How to Convert Fractions to Decimals 567 This is the thousandths place so the 7 needs to be in the thousandths place. 1000 6 7 5 .567
How to Convert Fractions to Decimals 4 This is the thousandths place so the 4 needs to be in the thousandths place. 1000 0 4 0 .004
How to Convert Fractions to Decimals 2 This is the tenths place so the 2 needs to be in the tenths place. 10 2 .2
5 Divide the Numerator by the Denominator 6 Suppose You Can’t Use A Denominator of 10?
5 3 8 . .0 0 6 5 6 4 8 2 0 Suppose You Can’t Use A Denominator of 10? .83 18 2
Suppose You Can’t Use A Denominator of 10? 2 6 . .0 3 2 3 1 8 2 .6
7 7 Least to Greatest 6 6 8 8 10 10 .75 .6 .875 3 3 Now let’s order. . . 4 4