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Multiplying Fractions

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by

Lauren King

on 30 October 2014

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Transcript of Multiplying Fractions

Now You Know How to Multiply Fractions! Thank You!
Let's Get Started
Multiplying Fractions by a Whole Number
Any whole number is equivalent to a fraction with that whole number over 1; for example:
Multiplying Proper Fractions
There are three easy steps to multiplying fractions:

Multiplying Mixed & Improper Fractions
Questions to Try Yourself
Fractions Game
Multiplying Fractions
4 =
4
1
So when you multiply a fraction by a whole number this:
It is the same as this:
To get the product, multiply the denominators together and the numerators together:
4 x
3
9
4
1
3
9
x
Then, reduce your product to lowest terms. To reduce, see if there is a common factor between the numerator and denominator:
4
1
3
9
x
=
12
9
And if asked, turn it into a mixed fraction - if the numerator is greater than the denominator by dividing the top by the
bottom:
12
9
÷ 3
÷ 3
=
4
3
4
3
1 R 1
1
4
3
=
3
1
Great Resources
Fraction Practice:
http://www.thegreatmartinicompany.com/fractions/fraction-problems-home.html

http://www.mathsisfun.com/fractions_multiplication.html
Mr. Duey's Fractions
Fraction Jackson
2
3
x
1
2
Step 1: Multiply the numerators (numbers on top of the line) of the fractions to get a product
=
2
Step 2: Multiple the denominators (numbers below the line) of the fractions to get a product
2
3
x
1
2
=
2
6
Step 3: Reduce fraction by dividing by the numerator and denominator's lowest common denominator
2
6
÷
2
÷
2
=
1
3
6
10
3
5
1.
2.
12
4
x
x
3
5
3.
5
x
5
13
=
=
=
18
50
=
9
25
60
12
=
5
25
13
4.
15
5
x
2
=
=
5.
8
3
x
7
8
=
56
24
=
7
3
6.
6
2
x
11
4
=
66
8
30
5
6
=
33
4
An improper fraction is a fraction in which the numerator is larger than the denominator; such as:
12
8
A mixed number is comprised of a whole number and a fraction. To get a mixed number from an improper fraction, divide the numerator by the denominator:
12 ÷ 8 = 1
4
8
x
6
Multiplying improper fractions is just the same as multiplying proper fractions:

3
4
13
You can also reduce a mixed number:
4
1
4
8
x
8
÷4
÷4
10
=
1
1
2
=
12
8
x
5
4
=
60
32
To multiply mixed numbers together, turn the mixed numbers into improper fractions first, then multiply!
3
15
2
x
4
9
x
12
=
21
7
x
4
x
3
2
3
=
5
6
Challenge Question

Bob has of a package. Mary has of Bob's. Fred has

of of Mary's. Greg has 3 times as much as Fred.

Nancy has the amount of Greg. If Nancy has 91 grams,

how many grams does Bob have?
351
20
44
1
2
x
1
6
5
12
14
=
82
7
6
9
x
3
4
6
x
2
3
=
44
27
1
4
x
2
6
x
2
=
1
6
4
5
3
8
2
9
1
2
7
15
or
17
11
20
Proper Fraction
or
11
5
numerator is less than the denominator
7
or
1
17
27
Improper Fraction
numerator is greater than or equal to denominator
Mixed Number
whole number and a fraction
To turn a mixed number to an improper fraction, multiply the denominator by the whole number then add the current numerator to get the new numerator:
1
4
8
x
+
(8x1) + 4 = 8 + 4 = 12
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