December 02, 2015
Chapter 5 Test Review
16 Questions involving multiplying and
dividing fractions and mixed numbers. One
question requires drawing a model, and one
is an essay, drawing, or explanation.
Show your work on the test or the worksheet.
Be sure to label each problem you do on the
worksheet, including the A or B level.
Estimate products and quotients of fractions and mixed
numbers
Estimate each product or quotient. Show your work for each
problem. Round each mixed number to the nearest whole
number. Pay attention to the operation sign!
Estimate products and quotients of fractions and mixed
numbers
Estimate each product or quotient. Show your work for each
problem. Round each mixed number to the nearest whole
number. Pay attention to the operation sign!
16 × 4 = 64
=2
Multiply two or more fractions and mixed numbers
Write the product in simplest form. For at least two of the
problems, use simplifying(cross-cancelling) to solve the problems.
Show your work.
Fraction × Fraction
multiply straight
across, then simplify
cross-cancel
or
1
1
3
4
December 02, 2015
Practice:
22 x 33
75 44
Fraction × Whole Number
Write the whole number as
a fraction, multiply across,
then simplify.
or
Write the whole number as a
fraction and cross-cancel.
6
1
45 x 12
414
81
Remember that "of" means "times"!
Practice:
4 x 39
13
Multiply Three or more Fractions
We surely don't want to multiply straight
across, so we must cross-cancel. We can
imagine any numerator over any denominator.
can be
changed to
65 x 72
112
or we can crosscancel without
switching numerators
7
3
1
5
4
3
December 02, 2015
Practice:
12 x 9 x 32
45 24 63
Multiply Mixed Numbers
We always change mixed numbers
to improper fractions when we
multiply or divide.
4
3
Practice:
62 x 74
3
5
Divide with fractions and mixed numbers
Write each quotient in simplest form. Show your work on the
Worksheet.
Whole number divided by a fraction
Change the whole number to a fraction.
Change division to multiplication by the
reciprocal of the divisor.
December 02, 2015
Practice:
Fraction divided by a whole number
_ 2
8 .. 3
Practice:
Change the whole number to a fraction.
Change division to multiplication by the
reciprocal of the divisor.
Fraction divided by a fraction
Change division to multiplication
by the reciprocal of the divisor.
4 _.. 2
5
5
4
7
3
December 02, 2015
Practice:
Mixed number divided by a mixed number
Change the mixed number to an
improper fraction.
23 _. 15
32 . 25
Practice:
2
1 _.
33 . 2 3
Change division to multiplication by
the reciprocal of the divisor.
8
1
1
7
Solve word problems involving fractions and solve problems by
solving simpler problems
Ranchers in the American West often wear what is called a tengallon hat. However, a ten-gallon hat actually holds only about 3/4
gallon. How many ten-gallon hats would be needed to hold 10
gallons?
Change the whole number to a fraction.
Change division to multiplication by the
reciprocal of the divisor.
hats full
December 02, 2015
Mark has 224 baseball cards. He bought 3/4 of his cards on the
internet. Of the cards he bought on the internet, 1/6 are Yankees.
How many Yankee cards did he buy on the internet?
224 cards
Explain in complete sentences or with a picture, diagram, or
pattern
how multiplying by a fraction works
internet
Each small box = 224 ÷8, or 28 cards.
Mark bought 28 Yankee cards on the internet.
how dividing by a fraction works [don't just tell me to
"flip the second fraction and multiply]
Good Luck
on the Test!