Multiplying Fractions & Mixed Numbers
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Transcript of Multiplying Fractions & Mixed Numbers
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Multiplying Fractions & Mixed Numbers
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MACC.6.EE.2.7MA.6.A.3.1, MA.6.A.3.2,
MA.6.A.3.3
EQ: How is the process to multiply mixed numbers related to multiplying fractions?
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6 x
0 1 2 3 4 5
Multiplying Fractions by Whole Numbers using a Number Line
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You are choosing 18 CDs to take to a party. You want two-thirds of the CDs to have
dance music. How many dance music CDs should you choose?
Multiplying Fractions using an Array (Model)
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You have 15 CDs. Each CD case is three-eighths inch wide. Estimate how wide a space you need on a CD rack to fit all 15 CDs.
Space = x 15
Space = x 16
Space = 6 Think: of 16 is 2, so multiply 2
by 3 for 6.
Estimating a Product
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Step 1 – Make all factors fractions◦ Change whole numbers into fractions by placing a
“1” as the denominator◦ For example:
6 ∙
∙ ·
Multiplying Fractions by Whole Numbers
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16
83
DN
DN
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Step 2 – Multiply the numerators and multiply the denominators
∙ 16
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The fraction bar means divide
Divide the numerator by the denominator - 8 1
Changing Improper Fractions to Mixed Numbers
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294
412
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Step 3 – Simplify
◦ Put the fractions in simplest form◦ Change improper fractions into mixed
numbers
= =
818
49
412
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Evaluate 4x, where x =
You Try It!
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There are 25 students in the music club, are also in the band. How many music club
students are also in the band?
Real World
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Step 1 – Multiply the numerators and multiply the denominators
·
Multiplying Fractions by Fractions
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Step 2 – Simplify
◦ Put the fractions in simplest form◦ Change improper fractions into mixed
numbers
÷ = 72
666
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Step 1 – Multiply the numerators and multiply the denominators or cross simplify
1 ·
3
Step 2 – Simplify
◦ Put the fractions in simplest form◦ Change improper fractions into mixed numbers
Multiplying Fractions by Fractionswith Cross Simplification
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Multiplying Mixed Numbers
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Change the following mixed number into an
improper fraction:
736
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6
Multiply the whole number by the denominator Add the numerator to the product The sum becomes the numerator and the
denominator stays the same
Changing Mixed Numbers to Improper Fractions
736
73
745
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Step 1 – Change all factors into fractions
· format
· = ·
Multiplying Fractions by Mixed Numbers
DN
DN
542
83
??
83
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Step 2 – Multiply the numerators and multiply the denominators
Step 3 – Simplify
◦ Put the fractions in simplest form◦ Change improper fractions into mixed
numbers
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Course 1
5-2 Multiplying Mixed NumbersAdditional Example 1A: Multiplying Fractions and
Mixed NumbersMultiply. Write the answer in simplest form.
A. • 114__ 1
3__
Write 1 as an improper fraction. 1 =
43__1
3__1
3__1
4__ 4
3__•
1 • 44 • 3_____ Multiply numerators. Multiply denominators.
412__
13__ Write the answer in simplest form.
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Course 1
5-2 Multiplying Mixed NumbersTry This: Example 2A
Find each product. Write the answer in simplest form.
A. 1 • 234__ 1
6__
74__ 13
6__•
7 • 134 • 6______ Multiply numerators. Multiply denominators.
9124__
1924__ You can write the improper fraction as a
mixed number.
Write the mixed numbers as improper fractions. 1 = 2 = 7
4__ 13
6__3
4__ 1
6__
3
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Lesson Quiz
Multiply. Write each answer in simplest form.
1. 3 2. 1 Find each product. Write the answer in simplest form. 3. 2 • 1 4. 5 • 3
5. A nurse gave a patient 3 tablets of a medication. If each tablet contained grain of the medication, how much
medication did the patient receive?
2
Insert Lesson Title Here
Course 1
5-2 Multiplying Mixed Numbers
58__1
5__ • 5
7__7
10__ •
14__1
5__ 1
5__ 16
12__
120__
1 314__
2 34__
grain740__