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Teacher: Damon W. Harris II
• Fractions: Part of Objects
Fractions are parts of objects
Ex: A Hershey's bar has 12 pieces
If you share 6 pieces, you share 6/12
You share 4 pieces, you share 4/12
You eat 3 pieces, you have 9/12 left
You eat no pieces, you have 12/12 = 1
• Equivalent Fractions
Equivalent means “same” or “equal”
Equivalent fractions are different fractions that are equal
Ex: 5/10 = 10/20
Both numerator and denominator were doubled
8/12 = 2/3
Both numerator and denominator were divided by 4.
• Equivalent Fractions Cont.
• Relationship of Fractions
1=1/1
Cutting a fraction in half doubles the denominator.
Half of 1=1/1 is ½
Half of ½ is ¼
Half of ¼ is 1/8
• Relationship of Fractions Cont.
A third of 1 is 1/3
Half of 1/3 is 1/6
Half of 1/6 is 1/12
• Relationship of Fractions Cont.
4/8 = ½. 3/8 is less than 4/8
Therefore, 3/8 is less than ½
2/4 = 4/8. ¾ is greater than 2/4
Therefore, ¾ is greater than 4/8
• Relationship of Fractions Cont.
1/3 = 2/6
2/3 > 1/3. Therefore 2/3 > 2/6
2/6 = 4/12
5/6 > 2/6. Therefore 5/6 > 4/12
• Fractions and Money
Wholes, Halves, and Fourths can be compared to money.
A dollar can be thought as a whole.
Half of a dollar is 50cents.
25cents =1/4
Fractions are used everyday in life.
=
• Improper Fractions
An improper fraction is when the numerator is larger than the denominator
Ex: 5/4; 6/4; 4/3
Improper fractions are larger than 1
5/4 > 4/4
5/4 > 4/4 by ¼
On a number line, 5/4 will be larger than 1
• Improper Fractions and Mixed Numbers
Improper Fractions can be put as mixed numbers.
A mixed number is a whole number with a fraction added to it.
1¼; 5½; 3 2/3 are all mixed numbers.
5/4 = 4/4 + ¼
4/4=1 so 5/4= 1+1/4= 1¼
• Improper and Mixed Numbers Cont.
15/5 = 5/5 + 5/5 + 5/5
5/5=1 so 15/5= 1+1+1
Therefore, 15/5 as a mixed number is 3.
9/6 = 6/6 + 3/6
6/6=1 and 3/6=1/2
• Ordering Fractions
Put these fractions from smallest to largest
2/4; 3/8; 5/4
2/4=4/8 3/8<4/8 3/8<2/4
5/4 > 1 1>1/2
The order is 3/8, 2/4, 5/4
• Ordering Fractions Cont.
Put in order from smallest to largest
1 1/6; 5/3; 7/12
1 1/6 and 5/3 > 1
7/12 < 1
5/3= 1 2/3 = 1 4/6 1 4/6> 1 1/6
The order is 7/12, 1 1/6, 1 2/3
• Review
We learned how fractions relate to objects.
We learned to find equivalent fractions.
We learned the relationship of fractions with different denominators
We learned what improper fractions are and how to turn them into mixed numbers.
We learned how to order fractions with different denominators.
• Credits
Slide 2 picture: RiRiTrautmann, “IMG_0345” 9/30/10 via Flickr, Creative Commons Attribution
Slide 4 Picture: The Pizza Review, “Pizza Pie-er” 9/30/10 via Flickr, Creative Commons Attribution
Slide 4 Picture: Rachael from Cupcakes take the Cake, “Viva Las Vegas cupcakes from Cups & Cakes Bakery, 9/30/10 via Flickr, Creative Commons Attribution
Slide 9 Picture: rychlepozicky.com, “One Dollar” 9/30/10 via Flickr, Creative Common Attribution
Slide 9 Picture: KaCey97007, “Oregon State Quarter” 9/30/10 via Flickr, Creative Commons Attribution