Divide Fractions and Mixed Numbers
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Transcript Divide Fractions and Mixed Numbers
Five-Minute Check (over Lesson 2–3)
Main Idea and Vocabulary
Key Concept: Inverse Property of Multiplication
Example 1: Find a Multiplicative Inverse
Key Concept: Divide Fractions
Example 2: Divide Fractions and Mixed Numbers
Example 3: Divide Fractions and Mixed Numbers
Example 4: Real-World Example
Example 5: Real-World Example
• Divide positive and negative fractions.
• multiplicative inverses
Two numbers with a product of 1
• reciprocals
1
5
BrainPop:
Multiplying and Dividing Fractions
Find a Multiplicative Inverse
Answer:
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Divide Fractions and Mixed Numbers
Multiply by the multiplicative
The fractions have different signs,
so the quotient is negative.
Answer:
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
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0%
D
Divide Fractions and Mixed Numbers
Estimate 3 ÷ (–2) = –1.5
The multiplicative
inverse of
Divide 4 and 8 by their
GCF, 4.
Divide Fractions and Mixed Numbers
Simplify.
Check for Reasonableness
Compare to the estimate. The answer seems reasonable
because –1.5 is close to
Answer:
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Divide by common factors.
=5
Simplify.
Answer: The cinema shows the movie 5 times that day.
A. 4 times
1.
2.
3.
4.
B. 5 times
C. 6 times
0%
D
0%
C
0%
B
D. 7 times
A
0%
A
B
C
D
PAINTING It took the five members of the Johnson
family 10
days to paint the seven rooms of their
house. At this rate, how long will it take the four
members of the Reyes family to complete a similar
task in their house?
If 5 persons each worked
days, the project required
person-days of work. Divide this number by
4 persons to find the number of days it will take the Reyes
family to complete their painting.
Multiply by the
multiplicative
inverse of 4,
which is
Simplify.
Answer:
.
DECORATING Six students spent
hours
decorating the school gym for a dance. How long
would it take 8 students to decorate the gym in the
same way?
A.
B.
1.
2.
3.
4.
C.
D.
0%
0%
A
B
0%
C
0%
D
A
B
C
D
End of the Lesson
Five-Minute Check (over Lesson 2–3)
Image Bank
Math Tools
Multiplying Fractions
Multiplying and Dividing Fractions
(over Lesson 2-3)
Find
Write in simplest form.
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 2-3)
Find
Write in simplest form.
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 2-3)
Find
Write in simplest form.
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 2-3)
Find
Write in simplest form.
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 2-3)
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 2-3)
Which of the following is 0.032 written as a fraction
in simplest form?
A. 3.2
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D