Scroll:Fractions >> Convert between improper fractions and mixed numbers >> 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 
73
6
 as a mixed number.

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



Answer:_______________




2)  

Write 
4
7
 as an improper fraction.


Answer:_______________




3)  

Write 
61
5
 as a mixed number.

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



Answer:_______________




4)  

Write 
6
4
 as an improper fraction.


Answer:_______________




5)  

Write 
61
6
 as a mixed number.

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



Answer:_______________




6)  

Write 
2
8
 as an improper fraction.


Answer:_______________




7)  

Write 
69
6
 as a mixed number.

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



Answer:_______________




8)  

Write 
5
5
 as an improper fraction.


Answer:_______________




9)  

Write 
43
7
 as a mixed number.

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



Answer:_______________




10)  

Write 
3
4
 as an improper fraction.


Answer:_______________




 

1)  

Write 
73
6
 as a mixed number.

Answer: 12 Answer: 16

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



SOLUTION 1 :

Solve:

Divide 73 by 6.

73 ÷ 6 = 12 R 1
You can make 12 wholes and will have 
1
6
 left over.


Write the mixed number:

12 
1
6


2)  

Write 
4
7
 as an improper fraction.

Answer: 467


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

6 = 
6 × 7
1 × 7
 = 
42
7


Now add the fractions.

 
42
7
  +  
4
7
 
 =  
46
 7
 

 

4
7
is equal to
46
7
.


3)  

Write 
61
5
 as a mixed number.

Answer: 12 Answer: 15

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



SOLUTION 1 :

Solve:

Divide 61 by 5.

61 ÷ 5 = 12 R 1
You can make 12 wholes and will have 
1
5
 left over.


Write the mixed number:

12 
1
5


4)  

Write 
6
4
 as an improper fraction.

Answer: 144


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

2 = 
2 × 4
1 × 4
 = 
8
4


Now add the fractions.

 
8
4
  +  
6
4
 
 =  
14
 4
 

 

6
4
is equal to
14
4
.


5)  

Write 
61
6
 as a mixed number.

Answer: 10 Answer: 16

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



SOLUTION 1 :

Solve:

Divide 61 by 6.

61 ÷ 6 = 10 R 1
You can make 10 wholes and will have 
1
6
 left over.


Write the mixed number:

10 
1
6


6)  

Write 
2
8
 as an improper fraction.

Answer: 508


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

6 = 
6 × 8
1 × 8
 = 
48
8


Now add the fractions.

 
48
8
  +  
2
8
 
 =  
50
 8
 

 

2
8
is equal to
50
8
.


7)  

Write 
69
6
 as a mixed number.

Answer: 11 Answer: 36

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



SOLUTION 1 :

Solve:

Divide 69 by 6.

69 ÷ 6 = 11 R 3
You can make 11 wholes and will have 
3
6
 left over.


Write the mixed number:

11 
3
6


8)  

Write 
5
5
 as an improper fraction.

Answer: 355


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

6 = 
6 × 5
1 × 5
 = 
30
5


Now add the fractions.

 
30
5
  +  
5
5
 
 =  
35
 5
 

 

5
5
is equal to
35
5
.


9)  

Write 
43
7
 as a mixed number.

Answer: 6 Answer: 17

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



SOLUTION 1 :

Solve:

Divide 43 by 7.

43 ÷ 7 = 6 R 1
You can make 6 wholes and will have 
1
7
 left over.


Write the mixed number:

1
7


10)  

Write 
3
4
 as an improper fraction.

Answer: 274


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

6 = 
6 × 4
1 × 4
 = 
24
4


Now add the fractions.

 
24
4
  +  
3
4
 
 =  
27
 4
 

 

3
4
is equal to
27
4
.