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Fraction Review

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Fraction Review What is a Fraction? Mixed numbers to improper fractions Another Way to change Mixed Numbers to improper fractions Equivalent fractions Multiplying By ... – PowerPoint PPT presentation

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Title: Fraction Review


1
Fraction Review
2
What is a Fraction?
A fraction is formed by dividing a whole into a
number of parts
Im the NUMERATOR. I tell you the number of parts
Im the DENOMINATOR. I tell you the name of part
3
Mixed numbers to improper fractions
Convert whole numbers to thirds
Mixed number
Improper fraction
4
Another Way to change Mixed Numbers to improper
fractions
In short 5x3217
Since 5/51 there are 5 fifths in each whole. So
3 wholes will have 3x515 fifths. Plus the 2
fifths already there makes a total of 15217
fifths
5
Equivalent fractions
An equivalent fraction is one that has the same
value and position on the number line but has a
different denominator
Equivalent fractions can be found by multiplying
by a special form of 1
6
Multiplying By a Special Form of One
Why does it work?
  • Multiplying any number by 1 does not change the
    value 4x14, 9x19 .
  • Any number divided by itself 1.

Multiplying a fraction by a special form of one
changes the numerator and the denominator but
DOES NOT CHANGE THE VALUE
7
1
8
Finding equivalent fractions
Convert 5ths to 20ths
Thats 4 so I must multiply by
What do we multiply 5 by to get a product of 20?
Special form of 1
9
Simplifying Fractions Cancelling
  • Simplifying means finding an equivalent fraction
    with the LOWEST denominator by making a special
    form of 1 equal to 1

1
Another way of doing this
10
Adding and Subtracting Fractions
11
Adding Fractions with common denominators
12
Adding Fractions with different denominators
Problem You cant add fractions with different
denominators without getting them ready first.
They will be ready to add when they have common
denominators
Solution Turn fractions into equivalent
fractions with a common denominator that is find
the Lowest Common Multiple (LCM) of the two
denominators
13
Finding the Lowest Common Denominator
  • The lowest common multiple of two numbers is the
    lowest number in BOTH lists of multiples

Multiples of 2 are 2, 4, 6, 8, 10 Multiples of
3 are 3, 6, 9, 12, What is the lowest
common multiple?
14
You cant add fractions with different
denominators

The Lowest Common Multiple of 2 and 3 is 6 so
turn all fractions into sixths
Special form of 1
15
Lowest common denominator is 10 so make all
fractions tenths
16
Turn both fractions into twelfths
17
Finally the fractions are READY to add. I just
have to add the numerators 91423
It is 3/3 So I multiply 3/7 by 3/3
It is 7/7 So I multiply 2/3 by 7/7
What is the lowest number BOTH 3 and 7 divide
into? Hmmmmm??????
What special form of 1 will change 7 to 21.
Hmmmm?
What special form of 1 will change 3 to 21.
Hmmmm?
It is 21. So that is my common denominator
Now 3x39 and 2x714 Now I know the new numerators
18
Adding Mixed Numbers
  • Separate the fraction and the whole number
    sections, add them separately and recombine at
    the end
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