1. Comparing and Ordering Fractions

2. Comparing - Step 1
If the denominators are the same, then the fraction with the larger numerator is greater.
3/5 is greater than 2/5

3. Comparing - Step 1
If the numerators are the same, then the fraction with the lower denominator is greater.
1/8 is greater than 1/12
1/8
1/12

4. Comparing - Step 2
If the denominators and numerators are different, than a common denominator should be found.

5. Comparing - Step 2
If the denominators and numerators are different, than a common denominator should be found.

6. Comparing - Step 2
If the denominators and numerators are different, than a common denominator should be found.
An easy way to do this is to multiply the denominators by each other to find a common denominator.
x 2
x 5

7. Comparing - Step 2
If the denominators and numerators are different, than a common denominator should be found.
An easy way to do this is to multiply the denominators by each other to find a common denominator.
x 2
x 5

8. Comparing - Step 3
Since a common denominator was found by multiplying the denominators by a number, the same number must be multiplied to the numerator
The golden rule of fractions = whatever you do to the top, you do to the bottom.
x 2 4
x 5 5
x 2
x 5

9. < Compare - Final Step 4 5
Compare the new numerators and you will find the greater fraction. 4 5
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10. Ordering - Step 1
To order fractions, you must compare the fractions first.
Find a common denominator if needed
If more than 3 fractions are being compared:
find a common multiple of all 3,or
multiply all three numbers together
Multiply each numerator by the number you multiplied it by in the denominator.

11. Ordering - Step 1
To order fractions, you must compare the fractions first.
3 x 3 = 9
4 x 3 = 12
2 x 4 = 8
3 x 4 = x 2 = 10
6 x 2 = 12
Middle
4 ; 3 ; 6
Least
Greatest

12. Ordering - Step 2
Place fractions in order as needed (least to greatest or greatest to least)
3 x 3 = 9
4 x 3 = 12
2 x 4 = 8
3 x 4 = x 2 = 10
6 x 2 = 12
Middle
3 ; 4 ; 6
Least
Least to greatest order
Greatest