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  1/4   =  5/4

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