Scroll:Fractions and mixed numbers >> Convert between mixed numbers and improper fractions >> saq (3819)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

Write 
6 
3
3
 as an improper fraction.


Answer:_______________




2)  

Write 
40
9
 as a mixed number.

(use slash ( / ) to separate the numerator and denominator.)



Answer:_______________




3)  

Write 
4 
4
3
 as an improper fraction.


Answer:_______________




4)  

Write 
67
7
 as a mixed number.

(use slash ( / ) to separate the numerator and denominator.)



Answer:_______________




5)  

Write 
2 
3
3
 as an improper fraction.


Answer:_______________




6)  

Write 
38
9
 as a mixed number.

(use slash ( / ) to separate the numerator and denominator.)



Answer:_______________




7)  

Write 
2 
5
5
 as an improper fraction.


Answer:_______________




8)  

Write 
53
7
 as a mixed number.

(use slash ( / ) to separate the numerator and denominator.)



Answer:_______________




9)  

Write 
5 
4
7
 as an improper fraction.


Answer:_______________




10)  

Write 
40
6
 as a mixed number.

(use slash ( / ) to separate the numerator and denominator.)



Answer:_______________




 

1)  

Write 
6 
3
3
 as an improper fraction.

Answer: 213


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

6 = 
6 × 3
1 × 3
 = 
18
3


Now add the fractions.

 
18
3
  +  
3
3
 
 =  
21
 3
 

 

6 
3
3
is equal to
21
3
.


2)  

Write 
40
9
 as a mixed number.

Answer: 4 Answer: 49

(use slash ( / ) to separate the numerator and denominator.)



SOLUTION 1 :

Solve:

Divide 40 by 9.

40 ÷ 9 = 4 R 4
You can make 4 wholes and will have 
4
9
 left over.


Write the mixed number:

4 
4
9


3)  

Write 
4 
4
3
 as an improper fraction.

Answer: 163


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

4 = 
4 × 3
1 × 3
 = 
12
3


Now add the fractions.

 
12
3
  +  
4
3
 
 =  
16
 3
 

 

4 
4
3
is equal to
16
3
.


4)  

Write 
67
7
 as a mixed number.

Answer: 9 Answer: 47

(use slash ( / ) to separate the numerator and denominator.)



SOLUTION 1 :

Solve:

Divide 67 by 7.

67 ÷ 7 = 9 R 4
You can make 9 wholes and will have 
4
7
 left over.


Write the mixed number:

9 
4
7


5)  

Write 
2 
3
3
 as an improper fraction.

Answer: 93


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

2 = 
2 × 3
1 × 3
 = 
6
3


Now add the fractions.

 
6
3
  +  
3
3
 
 =  
9
 3
 

 

2 
3
3
is equal to
9
3
.


6)  

Write 
38
9
 as a mixed number.

Answer: 4 Answer: 29

(use slash ( / ) to separate the numerator and denominator.)



SOLUTION 1 :

Solve:

Divide 38 by 9.

38 ÷ 9 = 4 R 2
You can make 4 wholes and will have 
2
9
 left over.


Write the mixed number:

4 
2
9


7)  

Write 
2 
5
5
 as an improper fraction.

Answer: 155


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

2 = 
2 × 5
1 × 5
 = 
10
5


Now add the fractions.

 
10
5
  +  
5
5
 
 =  
15
 5
 

 

2 
5
5
is equal to
15
5
.


8)  

Write 
53
7
 as a mixed number.

Answer: 7 Answer: 47

(use slash ( / ) to separate the numerator and denominator.)



SOLUTION 1 :

Solve:

Divide 53 by 7.

53 ÷ 7 = 7 R 4
You can make 7 wholes and will have 
4
7
 left over.


Write the mixed number:

7 
4
7


9)  

Write 
5 
4
7
 as an improper fraction.

Answer: 397


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

5 = 
5 × 7
1 × 7
 = 
35
7


Now add the fractions.

 
35
7
  +  
4
7
 
 =  
39
 7
 

 

5 
4
7
is equal to
39
7
.


10)  

Write 
40
6
 as a mixed number.

Answer: 6 Answer: 46

(use slash ( / ) to separate the numerator and denominator.)



SOLUTION 1 :

Solve:

Divide 40 by 6.

40 ÷ 6 = 6 R 4
You can make 6 wholes and will have 
4
6
 left over.


Write the mixed number:

6 
4
6