5-2 multiplying mixed numbers course 1 warm up warm up lesson presentation lesson presentation...
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5-2 Multiplying Mixed Numbers
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Warm UpMultiply.
1. 2.
3. 4.
Course 1
5-2 Multiplying Mixed Numbers
38__ 5
8__• 2
•45__ 3
8__
311__
12__1
3__ •
•
16__ 3
10__
611__ 15
64__
Problem of the Day
Tracy and Zachary are sharing a large pizza. Tracy cuts the pizza in half. Zachary says he cannot eat that much. Zachary cuts his half into fourths and eats one piece. What fraction of the whole pizza does Zachary not eat?
Course 1
5-2 Multiplying Mixed Numbers
78__
Learn to multiply mixed numbers.
Course 1
5-2 Multiplying Mixed Numbers
Course 1
5-2 Multiplying Mixed Numbers
To write a mixed number as an improper fraction, start with the whole number, multiply by the denominator, and add the numerator. Use the same denominator.
Remember!
15
__1 1 • 5 + 1
5_________ 6
5__= =
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 1A: Multiplying Fractions and Mixed Numbers
Multiply. 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.
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 1B: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
B. 3 • 12__ 4
5__
Write 3 as an improper fraction. 3 =
72__1
2__1
2__7
2__ 4
5__•
7 • 42 • 5_____ Multiply numerators. Multiply denominators.
2810__
145__ Write the answer in simplest form. You
can write the answer as a mixed number.
45__= 2
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 1C: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
C. • 21213__ 3
8__
Write 2 as an improper fraction. 2 =
198__3
8__3
8__12
13__ 19
8__•
3 • 19 13 • 2
______
Use the GCF to simplify before multiplying.
5726__ You can write the answer as a mixed number.
526__= 2
3
2
1213__ 19
8__•
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 1A
Multiply. Write each answer in simplest form.
A. • 119__ 1
2__
Write 1 as an improper fraction. 1 =
32__1
2__1
2__1
9__ 3
2__•
1 • 39 • 2_____ Multiply numerators. Multiply denominators.
318__
16__ Write the answer in simplest form.
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 1B
Multiply. Write each answer in simplest form.
B. 2 • 23__ 5
6__
Write 2 as an improper fraction. 2 =
83__2
3__2
3__8
3__ 5
6__•
8 • 53 • 6_____ Multiply numerators. Multiply denominators.
4018__
209__ Write the answer in simplest form. You
can write the answer as a mixed number.
29__= 2
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 1C
Multiply. Write each answer in simplest form.
C. • 31415__ 2
7__
Write 3 as an improper fraction. 3 =
237__2
7__2
7__14
15__ 23
7__•
2 • 23 15 • 1
______
Use the GCF to simplify before multiplying.
4615__ You can write the answer as a mixed
number. 115__= 3
2
1
1415__ 23
7__•
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 2A: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form.
A. 1 • 223__ 1
7__
53__ 15
7__•
5 • 153 • 7______
Multiply numerators. Multiply denominators.
7521__
1221__ You can write the improper fraction as a
mixed number.
Write the mixed numbers as improper
fractions. 1 = 2 = 53__ 15
7__2
3__ 1
7__
3
Simplify. 47__3
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 2B: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form.
B. 1 • 238__ 2
5__
118__ 12
5__•
11 • 32 • 5
______
Use the GCF to simply before multiplying.
3310__
Multiply numerators. Multiply denominators.
Write the mixed numbers as improper
fractions. 1 = 2 = 118__ 12
5__3
8__ 2
5__
Simplify. 310__3
118__ 12
5__•
3
2
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 2C: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form.
C. 2 • 425__
Use the Distributive Property.
Add.
45__8 +
2 • 425__
2 • (4 + )25__
(2 • 4) + ( 2 • )
21__
Multiply.
(2 • 4) + ( • )25__
25__
45__8
Course 1
5-2 Multiplying Mixed Numbers
Try 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 = 74__ 13
6__3
4__ 1
6__
3
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 2B
Find each product. Write the answer in simplest form.
B. 1 • 329__ 3
5__
119__ 18
5__•
11 • 21 • 5
______
Use the GCF to simply before multiplying.
225__
Multiply numerators. Multiply denominators.
Write the mixed numbers as improper
fractions. 1 = . 3 = 119__ 18
5__2
9__ 3
5__
Simplify. 25__4
119__ 18
5__•
2
1
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 2C
Find each product. Write the answer in simplest form.
C. 3 • 615__
Use the Distributive Property.
Add.
35__18 +
3 • 615__
3 • (6 + )15__
(3 • 6) + ( 3 • )
31__
Multiply.
(3 • 6) + ( • )15__
15__
35__18
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
5
8__1
5__
•5
7__7
10__
•
1
4__1
5__ 1
5__ 16
1
2__
1
20__
1 3
14__
23
4__
grain7
40__