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Mixed Numbers Worksheets

Mixed Numbers Worksheets
  • Page 1
 1.  
Identify the mixed fraction for the model given.


a.
31 4
b.
31 2
c.
42 3
d.
23 4


Solution:

The fraction modeled by the first three figures is 4 / 4, 4 / 4, 4 / 4 = 1, 1, 1.

The fraction modeled by the fourth figure is 2 / 4 = 1 / 2.

The mixed fraction modeled by the figures is 1 + 1 + 1 + 1 / 2 = 31 / 2.


Correct answer : (2)
 2.  
Carol needs 13 4 pounds of flour for one recipe and 21 2pounds of flour for another. Find the total amount of flour that she requires for both the recipes.
a.
13 4 pounds
b.
4 pounds
c.
41 4 pounds
d.
21 2 pounds


Solution:

The amount of flour required for first recipe = 13 / 4 pounds.

The amount of flour required for second recipe = 21 / 2 pounds.

Therefore, total amount required for both = 13 / 4 + 21 / 2

= 41 / 4 pounds


Correct answer : (3)
 3.  
Amy bought three oranges from market. She ate one full orange and her brother ate 3 4th of another orange. How many oranges did they eat together?
a.
23 4 oranges
b.
13 4 oranges
c.
1 orange
d.
3 oranges


Solution:

Number of oranges Amy ate = 1.

Number of oranges ate by her brother = 3 / 4.

So, total number of oranges they ate together = 1 + 3 / 4

= 13 / 4 oranges


Correct answer : (2)
 4.  
Karen and Dale ordered two mushroom pizzas. The pizzas were cut into 6 slices. Dale ate one full pizza and one slice from the other pizza. How many pizzas did Dale eat in all?
a.
7 pizzas
b.
17 6 pizza
c.
6 pizzas
d.
11 6pizzas


Solution:

Each pizza is cut into 6 pieces.

The total number of pizzas ate by Dale = 1 + 1 / 6

= 11 / 6 pizzas


Correct answer : (4)
 5.  
Erika drinks 1 glass of milk in the morning, and 3 4of a glass of milk in the evening, everyday. How much amount of milk does she drink everyday?
a.
13 4 glasses
b.
3 4 of a glass
c.
2 glasses
d.
1 glass


Solution:

In the morning Erika drinks = 1 glass of milk.

In the evening she drinks = 3 / 4 of a glass of milk.

So, the total amount of milk that she drinks everyday = 1 + 3 / 4 = 13 / 4 glasses.


Correct answer : (1)
 6.  
Susan used 2 lb of sugar for baking a cake. Then she used 3 4lb of sugar for another recipe. How much sugar did she use in all?
a.
2 lb
b.
23 4 lb
c.
3 4 lb
d.
21 4 lb


Solution:

Sugar used for baking cake = 2 lb.

Sugar used for another receipe = 3 / 4lb.

Therefore, the total sugar used by Susan = 2 lb + 3 / 4 lb

= 23 / 4 lb


Correct answer : (2)
 7.  
Which number on the number line does the point M best represent?


a.
1 10
b.
11 4
c.
1 4
d.
1 3


Solution:

The length between 0 and 1 is divided into 4 equal parts.

Each part represents unit fraction, 1 / 4.

The point M is placed on the 5th part on the number line.

The fraction that represents point M on the number line is 11 / 4.


Correct answer : (2)
 8.  
Which fraction is represented by the point R on the number line?

a.
17 10
b.
19 11
c.
18 11
d.
18 10


Solution:

The length between 0 and 1 is divided into 11 parts.

Each part represents 1 / 11.

The point R is marked on the 19th part on the number line.

So, 19 / 11 is the fraction represented by the point R on the number line.


Correct answer : (2)
 9.  
Which of the points represents 31 4 on the number line shown?


a.
P
b.
S
c.
Q
d.
R


Solution:

Each unit is divided into 4 parts. Each part represents 1 / 4.

The point S represents the value of 13 / 4 = 31 / 4.


Correct answer : (2)
 10.  
Identify the number line where point Q represents the fraction 12 5.

a.
Figure 1
b.
Figure 3
c.
Figure 4
d.
Figure 2


Solution:

The length between 0 and 1 is divided into five equal parts.

Each part represents 1 / 5.

The fraction 12 / 5 represents the point Q marked on the 7th part on the number line.

So, Figure 1 represents the number line where point Q represents the fraction 12 / 5 .


Correct answer : (1)

More Mixed Numbers Worksheets
Adding and Subtracting Mixed Numbers Worksheet
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