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Copy of Fractions

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by

Theresa Young

on 30 September 2015

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Transcript of Copy of Fractions

Fractions
Fractional Parts
Numerator
Denominator
Types of Fractions
Proper fraction
Improper fraction
Mixed fractions
In a proper fraction the numerator is smaller than the denominator
In an improper fraction the denominator is smaller than the numerator
2
3
A mixed fraction contains both a whole number and a fraction
Simplifying fractions
Simplify 20
50

20
50
Factors of 20 are: 1, 2, 4, 5, 10
Factors of 50 are: 1, 2, 5, 10, 25, 50
Divide top and bottom of fraction by 10
Adding proper fractions
It's easy !
Adding improper fractions
It's the same thing!!!
Then change to a mixed number
Divide the denominator (bottom)
into the numerator (top)
11 divided by 5 is with a remainder of 1
The remainder is the numerator
that's the number
on top
2
2
With the same denominators
With the same denominators
(or 2 x 5 = 10 + 1 = 11)
10 is common to both
20 and 50
+
=
The denominator stays the same
Add the numerators
20
50

2
5

=
3
5

+
8
5

=
11
5

11
5

1
5

NOD
Numerator
Over
Denominator
Change these improper
fractions to mixed numbers:
Convert the following to
improper fractions:
Adding fractions with different denominators
7
4
15
6
7
4
=
1
3
4
15
6
=
2
3
6
=
2
1
2
9
4
5
8
2
7
49
5
58
7
Simply the following fractions
15
25
16
24
15
25
=
3
5
16
24
=
2
3
To change from an improper fraction to a mixed fraction:
17
5
17 divided by 5 is 3
The remainder is 2
So the mixed fraction is
3
2
5
To convert from a mixed fraction to an improper fraction:
7
1
3
Mulitiply
the whole number by the denominator then
ADD
the numerator - 7 x 3 = 21 + 1 = 22
This becomes the numerator
The denominator remains the same
22
3
3
5
1
5
4
5
Multiplying and dividing fractions:
Maths Watch Clip 57A and 57B
MathsWatch clip 57
Full transcript