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 
4 
2
5
 as an improper fraction.


Answer:_______________




2)  

Write 
43
7
 as a mixed number.

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



Answer:_______________




3)  

Write 
2 
5
6
 as an improper fraction.


Answer:_______________




4)  

Write 
52
8
 as a mixed number.

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



Answer:_______________




5)  

Write 
5 
4
5
 as an improper fraction.


Answer:_______________




6)  

Write 
37
9
 as a mixed number.

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



Answer:_______________




7)  

Write 
2 
6
7
 as an improper fraction.


Answer:_______________




8)  

Write 
73
6
 as a mixed number.

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



Answer:_______________




9)  

Write 
4 
2
3
 as an improper fraction.


Answer:_______________




10)  

Write 
39
5
 as a mixed number.

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



Answer:_______________




 

1)  

Write 
4 
2
5
 as an improper fraction.

Answer: 225


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

4 = 
4 × 5
1 × 5
 = 
20
5


Now add the fractions.

 
20
5
  +  
2
5
 
 =  
22
 5
 

 

4 
2
5
is equal to
22
5
.


2)  

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:

6 
1
7


3)  

Write 
2 
5
6
 as an improper fraction.

Answer: 176


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

2 = 
2 × 6
1 × 6
 = 
12
6


Now add the fractions.

 
12
6
  +  
5
6
 
 =  
17
 6
 

 

2 
5
6
is equal to
17
6
.


4)  

Write 
52
8
 as a mixed number.

Answer: 6 Answer: 48

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



SOLUTION 1 :

Solve:

Divide 52 by 8.

52 ÷ 8 = 6 R 4
You can make 6 wholes and will have 
4
8
 left over.


Write the mixed number:

6 
4
8


5)  

Write 
5 
4
5
 as an improper fraction.

Answer: 295


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

5 = 
5 × 5
1 × 5
 = 
25
5


Now add the fractions.

 
25
5
  +  
4
5
 
 =  
29
 5
 

 

5 
4
5
is equal to
29
5
.


6)  

Write 
37
9
 as a mixed number.

Answer: 4 Answer: 19

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



SOLUTION 1 :

Solve:

Divide 37 by 9.

37 ÷ 9 = 4 R 1
You can make 4 wholes and will have 
1
9
 left over.


Write the mixed number:

4 
1
9


7)  

Write 
2 
6
7
 as an improper fraction.

Answer: 207


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

2 = 
2 × 7
1 × 7
 = 
14
7


Now add the fractions.

 
14
7
  +  
6
7
 
 =  
20
 7
 

 

2 
6
7
is equal to
20
7
.


8)  

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


9)  

Write 
4 
2
3
 as an improper fraction.

Answer: 143


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
  +  
2
3
 
 =  
14
 3
 

 

4 
2
3
is equal to
14
3
.


10)  

Write 
39
5
 as a mixed number.

Answer: 7 Answer: 45

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



SOLUTION 1 :

Solve:

Divide 39 by 5.

39 ÷ 5 = 7 R 4
You can make 7 wholes and will have 
4
5
 left over.


Write the mixed number:

7 
4
5