Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions...
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Transcript of Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions...
Today’s Plan:-Warm up and Correct Homework-Multiply Fractions
12/1/10 Multiply Fractions
Learning Target:
-I can multiply fractions and mixed numbers.
Entry Task:
Warm Up
1. What is 2. What is 3. What is
12
815
12 of 24?12 of 16?12 of 30?
4. What is 14 of 28? 7
Today’s Plan:-Warm up and Correct Homework-Multiply Fractions
12/1/10 Multiply Fractions
Learning Target:
-I can multiply fractions and mixed numbers.
Correct Homework: Pink Worksheet (Add and Subtract Decimals)
In 2001, the car toll on the George Washington Bridge was $6.00. In 1995 the toll was
Additional Example 1: Transportation Application
23 of the
toll in 2001. What was the toll in 1995?
23
6 · = 23
+ 23
23
23
23
23
+ + + + +
= 123
=41
Simplify.
= $4.00 Write the fraction as a decimal.
The George Washington Bridge toll for a car was $4.00 in 1995.
+ + + +13
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13
13
13
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1 1 1 1
Course 2
4-7 Multiplying Fractions and Mixed Numbers
In 2002, the fee to park in a parking garage was
$4. In 2000 the fee was of the fee in 2002.
What was the fee in 2000?
Try This: Example 1
34
4 · = 34
+ 34
34
34
+ +
= 124
=31
Simplify.
= $3.00 Write the fraction as a decimal.
The fee to park in the parking garage was $3.00 in 2000.
34
+14
14
14
14
14
14 + +1
414
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
1 1 1
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
Additional Example 2C: Multiplying Fractions
C. · 5
The signs are different, so the answer will be negative.
Multiply numerators.Multiply denominators.
423
–
45
·23
– =23
· 4 5·
–
= 8 15
–
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
B. · 8
= Simplify.
Multiply numerators.Multiply denominators.
313
1
1
= 18
38
·13
13
· 3 8·
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
Additional Example 2A: Multiplying Fractions
A. –12 · 34
–12 · 34
= – 121
· 34
Write –12 as a fraction.
= – 12 · 31 · 4
3
1Simplify.
91
= – = –9 Multiply numerators.Multiply denominators.
You can write any integer as a fraction with a denominator of 1.
Remember!
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
Try This: Example 2A
A. –16 · 14
–16 · 14
= – 161
· 14
Write –16 as a fraction.
= – 16 · 11 · 4
4
1Simplify.
41
= – = –4 Multiply numerators.Multiply denominators.
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
Additional Example 3A: Multiplying Mixed Numbers
Write the mixed number as an improper fraction.
Simplify.
Multiply numerators.Multiply denominators.
A. 2
25
· 1 23 = 2
5 · 53
= 25
· 53
1
1
5· 1 2
3
= 23
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
Additional Example 3B: Multiplying Mixed Numbers
Write the mixed numbers as improper fractions.
Simplify.
B. 4 15
· 2 17
415
· 17
= 215
· 157
= 5·
71521
1
3
1
3
= 91
or 9 Multiply numerators.Multiply denominators.
2
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form.
Try This: Example 3B
Write the mixed numbers as improper fractions.
Simplify.
B. 3 36
· 1 13
336
· 13
= 216
· 43
= 6·
3421
1
7
3
2
Multiply numerators.Multiply denominators.
1
= 143 or 4 2
3
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest terms.
5. A recipe for clam chowder calls for 2 14 pounds of
butter. If you prepare one-half of the recipe, how
much butter do you need?
1 18
pounds
Course 2
4-7 Multiplying Fractions and Mixed Numbers
Today’s Plan:-Warm up and Correct Homework-Multiply Fractions
12/1/10 Multiply Fractions
Learning Target:
-I can multiply fractions and mixed numbers.
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