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 
40
9
 as a mixed number.

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



Answer:_______________




2)  

Write 
5 
2
7
 as an improper fraction.


Answer:_______________




3)  

Write 
49
6
 as a mixed number.

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



Answer:_______________




4)  

Write 
3 
3
4
 as an improper fraction.


Answer:_______________




5)  

Write 
58
9
 as a mixed number.

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



Answer:_______________




6)  

Write 
3 
3
8
 as an improper fraction.


Answer:_______________




7)  

Write 
64
6
 as a mixed number.

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



Answer:_______________




8)  

Write 
2 
2
6
 as an improper fraction.


Answer:_______________




9)  

Write 
60
7
 as a mixed number.

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



Answer:_______________




10)  

Write 
6 
2
5
 as an improper fraction.


Answer:_______________




 

1)  

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


2)  

Write 
5 
2
7
 as an improper fraction.

Answer: 377


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
  +  
2
7
 
 =  
37
 7
 

 

5 
2
7
is equal to
37
7
.


3)  

Write 
49
6
 as a mixed number.

Answer: 8 Answer: 16

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



SOLUTION 1 :

Solve:

Divide 49 by 6.

49 ÷ 6 = 8 R 1
You can make 8 wholes and will have 
1
6
 left over.


Write the mixed number:

8 
1
6


4)  

Write 
3 
3
4
 as an improper fraction.

Answer: 154


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

3 = 
3 × 4
1 × 4
 = 
12
4


Now add the fractions.

 
12
4
  +  
3
4
 
 =  
15
 4
 

 

3 
3
4
is equal to
15
4
.


5)  

Write 
58
9
 as a mixed number.

Answer: 6 Answer: 49

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



SOLUTION 1 :

Solve:

Divide 58 by 9.

58 ÷ 9 = 6 R 4
You can make 6 wholes and will have 
4
9
 left over.


Write the mixed number:

6 
4
9


6)  

Write 
3 
3
8
 as an improper fraction.

Answer: 278


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

3 = 
3 × 8
1 × 8
 = 
24
8


Now add the fractions.

 
24
8
  +  
3
8
 
 =  
27
 8
 

 

3 
3
8
is equal to
27
8
.


7)  

Write 
64
6
 as a mixed number.

Answer: 10 Answer: 46

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



SOLUTION 1 :

Solve:

Divide 64 by 6.

64 ÷ 6 = 10 R 4
You can make 10 wholes and will have 
4
6
 left over.


Write the mixed number:

10 
4
6


8)  

Write 
2 
2
6
 as an improper fraction.

Answer: 146


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
  +  
2
6
 
 =  
14
 6
 

 

2 
2
6
is equal to
14
6
.


9)  

Write 
60
7
 as a mixed number.

Answer: 8 Answer: 47

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



SOLUTION 1 :

Solve:

Divide 60 by 7.

60 ÷ 7 = 8 R 4
You can make 8 wholes and will have 
4
7
 left over.


Write the mixed number:

8 
4
7


10)  

Write 
6 
2
5
 as an improper fraction.

Answer: 325


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
  +  
2
5
 
 =  
32
 5
 

 

6 
2
5
is equal to
32
5
.