Modeling Multiplying Fractions

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Name ____________________________________ Date _______________ Period _______
Multiplying Proper Fractions
Use an area model to multiply the following.
1.
1 1
= _____

4 5
2.
1 1
= _____

2 6
3 7
 =
10 10
3.
Decimals:
_____ x _____ = _____
4.
6.
1
4
1
x
=
x
5
7
2
5.
4
9
x
2
3
x
=
4
6
Billy had two-thirds of a pizza left after dinner. Later that night, he ate one-fourth of it for
a snack. How much of the pizza did he eat for a snack?
Answer _______________
7.
Three-fourths of the questions on the math test contain fractions. Half of those
questions were addition. What fraction of the math test contained adding fractions?
Answer _______________
8.
In Mr. Cranium’s math class, four-fifths of the students attempted the bonus problem.
Half of those students got it correct. What fraction of the whole class got the problem
correct?
Answer _______________
9.
Six Flags Amusement Park has found that three-fifths of its customers rides the
Colossus roller coaster. Of these, one-fourth rides it again. What fraction of the
customers rides the roller coaster twice?
Answer _______________
Solve the bonus MONSTER problem:
1 3 21 4 6 2 7 1 7 4 15 12 6 13 3 5 3 6 14
 
               
2 7 22 5 7 3 12 3 9 9 16 13 1 14 1 6 5 3 2
Name ____________________________________ Date _______________ Period _______
MULTIPLYING MIXED NUMBERS
Notes





-Multiplying Mixed Numbers
Convert the mixed number to an improper fraction
Reduce top to bottom if you can
Multiply top times top (numerator x numerator)
Multiply bottom times bottom (denominator x denominator)
Write the answer in simplest form.
Express each mixed number as an improper fraction.
1.
4
1
2
2.
5
5
7
3.
6
3
5
4.
1
5
8
5.
Find each product. Write in simplest form.
6.
1
4
x3
5
7.
1
7
3
x3
9
4
9.
3
3
4
x1
8
9
10.
5
2
x6
11
7
12.
3
5
x4
8
13.
4x
8.
12
11.
7
2
5
Solve each equation. Write the solution in simplest form.
1
=y
2
14.
6x3
16.
What is the value of
15.
2
a if a = 45
3
h=
1
1
x2
3
4
1
1
x
2
5
7
1
x5
8
3
8
3
4
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