Multiplying Fractions

1
Multiplying Fractions
To multiply fractions, you multiply the
numerators, then you multiply the denominators.
You must simplify your final answer to lowest
terms.
STEP 1 - Copy the Problem
2
Multiplying Fractions
To multiply fractions, you multiply the
numerators, then you multiply the denominators.
You must simplify your final answer to lowest
terms.
STEP 1 - Copy the Problem
STEP 2 - Multiply the Numerators
3
Multiplying Fractions
To multiply fractions, you multiply the
numerators, then you multiply the denominators.
You must simplify your final answer to lowest
terms.
STEP 1 - Copy the Problem
STEP 3 - Multiply the Denominators
STEP 2 - Multiply the Numerators
4
Multiplying Fractions
To multiply fractions, you multiply the
numerators, then you multiply the denominators.
You must simplify your final answer to lowest
terms.
STEP 1 - Copy the Problem
STEP 3 - Multiply the Denominators
STEP 2 - Multiply the Numerators
STEP 4 - Simplify if you can.
5
Multiplying Fractions
To multiply fractions, you multiply the
numerators, then you multiply the denominators.
You must simplify your final answer to lowest
terms.
STEP 1 - Copy the Problem
STEP 3 - Multiply the Denominators
STEP 2 - Multiply the Numerators
STEP 4 - Simplify if you can.
This fraction cannot be simplified.
6
Multiplying Fractions
To multiply fractions, you multiply the
numerators, then you multiply the denominators.
You must simplify your final answer to lowest
terms.
What about mixed numbers?
STEP 1 - Copy the Problem
STEP 3 - Multiply the Denominators
STEP 2 - Multiply the Numerators
STEP 4 - Simplify if you can.
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Multiplying Mixed Numbers
STEP 1 - Copy the Problem
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Multiplying Mixed Numbers
STEP 1 - Copy the Problem
Estimate an answer.
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Multiplying Mixed Numbers
STEP 1 - Copy the Problem
Estimate an answer.
rounds to 2.
10
Multiplying Mixed Numbers
STEP 1 - Copy the Problem
Estimate an answer.
rounds to 3.
11
Multiplying Mixed Numbers
STEP 1 - Copy the Problem
Estimate an answer.
2 times 3 equals 6
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Multiplying Mixed Numbers
STEP 2 - Change any mixed numbers to improper
fractions
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Multiplying Mixed Numbers
STEP 2 - Change any mixed numbers to improper
fractions
I wonder how I can change a mixed number to an
improper fraction?
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.
4 x 1
x
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.

4 x 1 4
x
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.

4 x 1 4
STEP 2 - Add the product to the numerator.
4 3
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.


4 x 1 4
STEP 2 - Add the product to the numerator.
4 3 7
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.
4 x 1 4

STEP 2 - Add the product to the numerator.
4 3 7
STEP 3 - The sum becomes the new numerator.
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.
4 x 1 4
STEP 2 - Add the product to the numerator.
4 3 7
STEP 3 - The sum becomes the new numerator.
STEP 4 - The denominator stays the same.
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Mixed Numbers and Improper Fractions
STEP 1 - Multiply the denominator and the whole
number.
4 x 1 4
STEP 2 - Add the product to the numerator.
4 3 7
STEP 3 - The sum becomes the new numerator.
STEP 4 - The denominator stays the same.
So...
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Mixed Numbers and Improper Fractions
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Multiplying Mixed Numbers
STEP 3 - Multiply the numerators.
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Multiplying Mixed Numbers
STEP 4 - Multiply the denominators.
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Multiplying Mixed Numbers
STEP 5 - Simplify the fraction if you can.
This is an improper fraction. Improper fractions
must be changed to mixed numbers.
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Multiplying Mixed Numbers
STEP 5 - Simplify the fraction if you can.
I wonder how I would change an improper fraction
to a mixed number?
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Mixed Numbers and Improper Fractions
The fraction bar is another way of writing a
division sign.
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Mixed Numbers and Improper Fractions
The fraction bar is another way of writing a
division sign.
So...
Means...
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Mixed Numbers and Improper Fractions
Can also be written like this...
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Mixed Numbers and Improper Fractions
So, how do I solve this problem?
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Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 8 will go into
the 35.
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Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 8 will go into
the 35.
8 will go in 4 times.
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Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 8 will go into
the 35.
8 will go in 4 times.
Put a 4 above the 5 in 35.
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Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 8 will go into
the 35.
8 will go in 4 times.
Put a 4 above the 5 in 35.
Take 8 times 4...
35
Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 8 will go into
the 35.
8 will go in 4 times.
Put a 4 above the 5 in 35.
Take 8 times 4...
36
Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 8 will go into
the 35.
8 will go in 4 times.
Put a 4 above the 5 in 35.
Take 8 times 4