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Multiplying Mixed Numbers
What is a mixed number?
A mixed number has two parts. A whole number and a
fraction.
What is an Improper Fraction? An Improper Fraction is a fraction which Numerator is
greater than its Denominator.
How do I change a Mixed
To get the Numerator: Start with the Denominator.
Number to an Improper
Multiply the denominator by the whole number then add
Fraction?
the numerator. The Denominator stays the same.
14
5 x 1 +4 = 9
5
5
Practice 1: Change to an
4 7/10
Improper Fraction.
Answer: 10 x 4 + 7 = 47/10
Practice 2:
5 3/7
How do I change an Improper
fraction to a Mixed Number?
Answer: 7 x 5 + 3 = 38/7
Divide the Denominator into the Numerator to get the
whole number and the remainder is the numerator and
keep the same denominator.
48
5
Practice 3: Change each
improper fraction to a mixed
number.
Practice 4:
How do I multiply mixed
numbers?
ALERT:
Example:
1 ¼ x 2/3
48  5 = 9 4/5
12/5
Answer: 12  5 = 2 2/5
14/8
Answer: 14  8 = 1 6/14
Simplify: 1 3/7
Step 1: Change the mixed numbers to improper
fractions.
2: Cross reduce using the GCF of the
diagonal numbers.
3: Multiply the Numerators.
4: Multiply the Denominators.
5: Write the answer as a mixed number.
NEVER MULTIPLY THE WHOLE NUMBERS AND
THE FRACTIONS! Always change it to an improper
fraction.
1 ¼ x 2/3
Step 1: 1 ¼ = 5/4 x 2/3
2: 5 2 1
24 3
Practice 5: Multiply the
3: 5 x 1 = 5
4: 2 x 3 = 6
5: Answer: 5/6
1 ½ x 2 2/5
Mixed Number
Practice 6:
Answer: 3/2 x 12/5 = 18/5 or 3 3/5
3/5 x 2 2/9
Answer: 3/5 x 20/9 = 1 1/3
Multiplying Mixed Numbers
What is a mixed number?
What is an Improper
Fraction?
How do I change a Mixed
Number to an Improper
Fraction?
How do I change an
Improper fraction to a
Mixed Number?
A mixed number has two parts. A
______________number and a
_________________.
An _______________ Fraction is a fraction
whose _____________________is greater than
its _________________________________.
To get the _____________
1. _____________ the denominator by the
_____________ number then ________ the
numerator. The Denominator stays the
________________.
14
5
1. __________________ the
______________ into the
_____________________to get the
_______________ number.
2. The ______________ is the numerator.
3. Keep the ______________ denominator.
48
5
How do I multiply mixed
numbers?
Step 1: Change the ____________ numbers to
improper fractions.
2: _________reduce using the
_____________ of the
diagonal numbers.
3: Multiply the ____________________.
4: Multiply the ___________________.
5: Write the answer as a
____________________.
ALERT:
NEVER MULTIPLY THE WHOLE NUMBERS
AND THE FRACTIONS! Always change it to an
_________________________
_______________________________.
Example:
1 ¼ x 2/3
Practice 5: Multiply the
Mixed Number
1 ½ x 2 2/5
Practice 6:
3/5 x 2 2/9
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