Transcript Multiplying Fractions and Mixed Numbers

COURSE 2 LESSON 4-4
Multiplying Fractions and Mixed Numbers
Find 1 • 3 .
9
Estimate
4
1
3
•
9
4
3
4
0 • , or 0
1
• 3 = 1•3
9
4
9•4
Multiply the numerators.
Multiply the denominators.
=
3
36
Find the two products.
=
1
12
Simplify.
1
Check for Reasonableness The answer, , is close to the estimate, 0.
12
The answer is reasonable.
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COURSE 2 LESSON 4-4
Multiplying Fractions and Mixed Numbers
Ebony swam 3 mi. Kate swam 5 of Ebony’s distance. How
5
6
far did Kate swim?
Words
Kate’s distance is five-sixths of Ebony’s distance
Let k represent Kate’s distance.
Equation
k=
k
=
5
6
•
3
5
5
3
•
6
5
1
1
5
3
k=
•
6
5
2
1
Divide a numerator and a denominator by their GCF, 3.
Divide a numerator and a denominator by their GCF, 5.
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COURSE 2 LESSON 4-4
Multiplying Fractions and Mixed Numbers
(continued)
k=
1•1
2•1
Multiply the numerators. Multiply the denominators.
k=
1
2
Simplify.
Kate swam 1 mi.
2
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COURSE 2 LESSON 4-4
Multiplying Fractions and Mixed Numbers
What is 2 of 12?
3
2
2 12
• 12 =
•
3
3
1
4
2 12
=
•
3
1
1
Write 12 as 12 .
1
Simplify before multiplying.
= 8
Multiply the numerators. Multiply the denominators.
= 8
Simplify.
1
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