COMPARE FRACTIONS WITH THE SAME NUMERATORS
For the GREATEST/BIGGEST Value
Example
Which fraction has the greatest value?
2 2 2
3 7 5
By Drawing:
We can see that:
(1) The fraction (2/3) with the SMALLEST DENOMINATOR (3) is the GREATEST.
(2) The fraction (2/7) with the BIGGEST DENOMINATOR (7) is the SMALLEST.
Answer: 2/3
However, we cannot be drawing for all ordering fractions.
Ordering Method: STSB (Same Top - Small is/to Great)
Step1: Checkfor SameNumerators(TOP) /Denominators(BOTTOM).
Step2: Same Numerators– YES. Use STSG
Step3: (SG: Smallest is Greatest)Circlethe smallest denominator (3)
Answer: 2/3
(a) Which fraction has the greatest value?
4 , 4 , 4 , 4 , 4
9 7 5 11 12
Method
Step1:Checkfor SameNumerators(top)/Denominators(bottom).
Step2:Same Numerators? – YES. Use: STSG
Step3: (SG: Smallest is Greatest).Circlethe smallest denominator (5)
4 /5 has the greatest value
ORDER from GREATEST to SMALLEST
ORDER from GREATEST to SMALLEST
(b) Arrange the fraction from the greatest to the smallest value.
4 , 4
, 4 , 4 ,
4
9 7 5
11 12
Step1:Checkfor SameNumerators/Denominators.
Step2:Same Numerators? – YES. Use: STSG
Step3: (SG: Smallest is Greatest).Arrangethe fraction from the smallest to largest denominator
4 , 4
, 4 , 4 ,
4
5 7 9
11 12
For the SMALLEST Value
Example:
Which fraction has the smallest value?
4 , 4 , 4 , 4 , 4
9 7 5 11 12
Method
Step1: Checkfor SameNumerators(top)/Denominators(bottom).
Step2: Same Numerators? – YES. Use: STSG
Step3: (SG: Smallest is Greatest). Circlethe Largest denominator(12)
4 /12 has the smallest value
Order from SMALLEST to GREATEST
Arrange the fraction from the smallest to the greatest value.
4 , 4 , 4 , 4 , 4
9 7 5 11 12
Method
Method
Step1:Checkfor SameNumerators/Denominators.
Step2:Same Numerators? – YES. Use: STSG
Step3: Arrangethe fraction from the largest to the smallestdenominator 4 , 4 , 4 , 4 , 4
12 11 9 7 5
COMPARE FRACTIONS WITH THE SAME DENOMINATORS
FOR the GREATEST Value
Example
Which fraction has the greatest value?
2 5 3
7 7 7
By Drawing:
(2) The fraction (2/7) with the SMALLEST NUMERATOR (7) is the SMALLEST.
Answer: 5/7
However, we cannot be drawing for all ordering fractions.
However, we cannot be drawing for all ordering fractions.
Method
Remember: SBSS
Step1:Checkfor SameNumerators(top)/Denominators(bottom).
Step2:Same Denominators(Bottom) ? – YES. Use: SBSS
Step3: (SS: Smallest isSmallest)-> greatest is greatest
Circlethe LARGEST numerator (5)
Answer: 5/7
Example:
(a) Which fraction has the greatest value?
2 , 4 , 3 , 6
7 7 7 7
Method
Step1:Checkfor SameNumerators(top)/Denominators(bottom).
Step2:Same Denominators? – YES. Use: SBSS
-> Greatest is greatest.
Step3: Circlethe GREATEST denominator(5)
6/7 has the greatest value.
ORDER from GREATEST to SMALLEST
(b) Arrange the fraction from the greatest to the smallest value.
Method
Step1:Checkfor SameNumerators/Denominators.
Step2:Same Denominators? – YES. Use: SBSS
Step3: (SS: Smallest isSmallest)->
Arranget he fraction from the largest to smallest denominator
6 , 4 , 3 , 2
7 7 7 7
For the SMALLEST Value
(c) Which fraction has the smallest value?
Method
2 , 4 , 3
, 6
7 7 7 7
Method
Step1:Checkfor SameNumerators/Denominators.
Step2:Same Denominators(bottom)? – YES. Use: SBSS
Step3: (SS: Smallest isSmallest). Circle the Smallestdenominator(12)
2/7 has the smallest value
ORDER from SMALLEST to GREATEST
(d) Arrange the fraction from the smallest to the greatest value.
2 , 4 , 3 , 6
7 7 7 7
Method
Step1:Checkfor SameNumerators/Denominators.
Step2:Same Denominators? – YES. Use: SBSS
Step3: (SS: Smallest isSmallest). Arrange the fraction from the smallest to the largest denominator
2 , 3 , 4 , 6
7 7 7 7
SUMMARY
COMPARE OTHER FRACTIONS
Example
Which fraction has the greatest value?
2 1 3
3 2 4
Method
Step1 Convert all to LIKE fractions
3x4 12 2x6 12 4x3 = 12
Step2 Circle the numerator with the biggest value
9/12 has the greatest value
~~~~ END ~~~~ :)
~~~~ END ~~~~ :)