numerator = top of fraction
denominator = bottom of fraction
fractions of a whole, set and in word problems
a b a fraction for vowels 2/3
If I have 6 cookies and 9 people, how much will each person get of the cookie? 6/9
decompose fractions
Understand fractions are made up of smaller fractions. For example 6/8 = 4/8 + 2/8 or 3/8 + 3/8 etc...
add and subtract fractions and mixed numbers
using decomposing numbers:1 2/3 + 2/3 = 1 4/3 = 1 + 3/3 + 1/3 = 2 1/3
using drawings:
+ += 6/4 or 1 2/4 or 1 1/2
add fractions with denominators of 10's and 100's by making into the same denominator
Example: 3/10 + 4/100 = 30/100 + 4/100 = 34/100
multiplying fractions
6/5 = 3 x 2/5 = 6 x 1/5 using pictures to prove
close to 0, 1/2, 1 or more than 1
close to zero if numerator and denominator are far apart 2/20
close to one if numerator and denominator are close to together 19/20
exactly one if numerator and denominator are the same 7/7
over one if the numerator is biggier than the denominator 5/4
equivalent fractions = fractions that cover the same amount of space
4/5 = 8/10 ( this one is times by 2)
12/30 = 2/5 ( this one is divide by 6)
Rule: multiply or divide the numerator and denominator by the same number
mixed numbers and improper fractions
1 2/5 = 7/5
ordering and comparing fractions
unit fractions have same numerator 1/20 1/5 1/25 1/8
In this case the bigger the denominator the smaller the piece
1/25 1/20 1/8 1/5 = least to greatest
same denominator fractions 3/6 2/6 1/6 5/6
In this case the bigger the numerator the bigger the piece
1/6 2/6 3/6 5/6
when comparing fractions , make the fractions have the same denominator or compare to a benchmark fraction
4 8
12 < 9
For example, 4/12 is smaller than 1/2, but 8/9 is bigger than 1/2. You could also make the common denominator of 108 so you compare 36/108 to 96/108.
fraction of a whole
whole number times numerator divided by denominator
4/5 of 20 = 4 x 20 = 80 80 divided by 5 = 16