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 
38
7
 as a mixed number.

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



Answer:_______________




2)  

Write 
5 
2
8
 as an improper fraction.


Answer:_______________




3)  

Write 
57
8
 as a mixed number.

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



Answer:_______________




4)  

Write 
2 
4
5
 as an improper fraction.


Answer:_______________




5)  

Write 
76
5
 as a mixed number.

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



Answer:_______________




6)  

Write 
2 
3
6
 as an improper fraction.


Answer:_______________




7)  

Write 
39
7
 as a mixed number.

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



Answer:_______________




8)  

Write 
3 
3
8
 as an improper fraction.


Answer:_______________




9)  

Write 
79
6
 as a mixed number.

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



Answer:_______________




10)  

Write 
2 
2
7
 as an improper fraction.


Answer:_______________




 

1)  

Write 
38
7
 as a mixed number.

Answer: 5 Answer: 37

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



SOLUTION 1 :

Solve:

Divide 38 by 7.

38 ÷ 7 = 5 R 3
You can make 5 wholes and will have 
3
7
 left over.


Write the mixed number:

5 
3
7


2)  

Write 
5 
2
8
 as an improper fraction.

Answer: 428


SOLUTION 1 :

Rewrite 5 as a fraction with 6 as the denominator.

5 = 
5 × 8
1 × 8
 = 
40
8


Now add the fractions.

 
40
8
  +  
2
8
 
 =  
42
 8
 

 

5 
2
8
is equal to
42
8
.


3)  

Write 
57
8
 as a mixed number.

Answer: 7 Answer: 18

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



SOLUTION 1 :

Solve:

Divide 57 by 8.

57 ÷ 8 = 7 R 1
You can make 7 wholes and will have 
1
8
 left over.


Write the mixed number:

7 
1
8


4)  

Write 
2 
4
5
 as an improper fraction.

Answer: 145


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
  +  
4
5
 
 =  
14
 5
 

 

2 
4
5
is equal to
14
5
.


5)  

Write 
76
5
 as a mixed number.

Answer: 15 Answer: 15

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



SOLUTION 1 :

Solve:

Divide 76 by 5.

76 ÷ 5 = 15 R 1
You can make 15 wholes and will have 
1
5
 left over.


Write the mixed number:

15 
1
5


6)  

Write 
2 
3
6
 as an improper fraction.

Answer: 156


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
  +  
3
6
 
 =  
15
 6
 

 

2 
3
6
is equal to
15
6
.


7)  

Write 
39
7
 as a mixed number.

Answer: 5 Answer: 47

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



SOLUTION 1 :

Solve:

Divide 39 by 7.

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


Write the mixed number:

5 
4
7


8)  

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
.


9)  

Write 
79
6
 as a mixed number.

Answer: 13 Answer: 16

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



SOLUTION 1 :

Solve:

Divide 79 by 6.

79 ÷ 6 = 13 R 1
You can make 13 wholes and will have 
1
6
 left over.


Write the mixed number:

13 
1
6


10)  

Write 
2 
2
7
 as an improper fraction.

Answer: 167


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
  +  
2
7
 
 =  
16
 7
 

 

2 
2
7
is equal to
16
7
.