7. Use the formula d=rt to find the distance d a long-distance runner
Multiplying Mixed Numbers and Fractions…

First write the mixed number as an improper fraction.
Remember that when mixed numbers are written as improper
fractions, the denominator does not change.

Then multiply as with fractions. Multiply the numerators, then
multiply the denominators.

𝟏
𝟐
1
2
8. A reproduction of Claude Monet’s Water-Lilies has dimension 34
1
inches by 362 . Find the area of the painting.
Simplify if possible.
Multiplying Mixed Numbers Independent Practice
1.
3
4
can run at a rate r of 9 miles per hour for time t of 1 hours.
𝟏
𝟐
9.
𝟏
x 2𝟑 =
𝟐
𝟏
𝟐
𝟑
𝟑
𝟏𝟎
=
x
b. 1 x
7
10
4. A carp can travel at a speed of 3
mile per hour. At this rate,
1
2
how far can a carp travel in 2 hours?
3
4
3
3
= 8 Why is this product less than 4?
2
5. Juliette is making fruit salad. She purchased 93 ounces each of 6
different fruits. How many ounces of fruit did she purchase?
1
6. A waffle recipe calls for 24 cups of flour. If Jack wants to make
1 times the recipe, how much flour does he need?
3
4
3
3
= 4 Why is this product equal to 4?
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_________________________________________________________
_________________________________________________________
_________________________________________________________
c.
1
2
1
2
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
2. 1𝟑 x 1𝟒 =
3. 6 x 3
a.
3
2
3
9
3
x 4 = 8 Why is this product greater than 4?
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_____________________________________________________
_____________________________________________________
_____________________________________________________
1
Multiplying Mixed Numbers Independent Practice Answers
1.
𝟏
𝟐
𝟏
8. A reproduction of Claude Monet’s Water-Lilies has dimension 342
1
inches by 362 . Find the area of the painting. The area of the
𝟏
x 2𝟑 = 1𝟔
𝟐
𝟑
𝟏
𝟒
𝟐
𝟑
𝟏
𝟒
painting is 1259 in.2
𝟏
𝟏𝟐
2. 1 x 1 = 2
9.
3. 6𝟑 x 3𝟏𝟎 = 22
a.
1
2
x
3
4
=
3
8
3
4
Why is this product less than ? We are finding a
part of a part…both numbers less than a whole.
4.
7
A carp can travel at a speed of 310 mile per hour. At this rate,
1
𝟏
how far can a carp travel in 2 hours? The carp can travel 9
2
𝟒
b. 1 x
3
4
=
3
4
3
4
Why is this product equal to ? Any number
multiplied by 1 is the same number…Identity Property.
miles.
c.
3
2
3
9
3
x 4 = 8 Why is this product greater than 4? The other
𝟑
5. Juliette is making fruit salad. She
2
purchased 93
factor is greater than 1, so the product is greater than 𝟒 .
ounces each of 6
different fruits. How many ounces of fruit did she purchase?
Juliette bought 58 oz. of fruit.
1
6. A waffle recipe calls for 24 cups of flour. If Jack wants to make
1
𝟑
12 times the recipe, how much flour does he need? Jack needs 3𝟖
cups of flour.
7. Use the formula d=rt to find the distance d a long-distance runner
𝟏
𝟐
3
4
can run at a rate r of 9 miles per hour for time t of 1 hours. The
𝟓
runner can run 16𝟖 miles.