**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

NO CALCULATORS PLEASE :)

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