Scroll:Add and subtract fractions >> Add and subtract fractions with unlike denominators >> saq (3856)

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)  

 Add:

1
9
 + 
1
3
 = 

 
1
9
+  
1
3



Answer:_______________




2)  

 Add:

1
4
 + 
1
2
 = 


Answer:_______________




3)  

 Subtract:

11
12
 – 
1
2
 = 

 
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
–  
1
2

 


Answer:_______________




4)  

Subtract:
 

7
10
 – 
2
5
 = 



Answer:_______________




5)  

 Add:

1
2
 + 
3
8
 = 
 

 
1
2
+  
1
8
1
8
1
8



Answer:_______________




6)  

 Add:

1
12
 + 
5
6
 = 

 
1
12
+  
1
6
1
6
1
6
1
6
1
6


 




Answer:_______________




7)  

Add:

1
2
 + 
1
4
 = 



Answer:_______________




8)  

 Add:

1
3
 + 
4
9
 = 

 
1
3
+  
1
9
1
9
1
9
1
9



Answer:_______________




9)  

 Add:

5
8
 + 
1
4
 = 

 
1
8
1
8
1
8
1
8
1
8
+  
1
4




Answer:_______________




10)  

 Add:

7
10
 + 
1
5
 = 

 
1
10
1
10
1
10
1
10
1
10
1
10
1
10
+  
1
5



Answer:_______________




 

1)  

 Add:

1
9
 + 
1
3
 = 

 
1
9
+  
1
3

Answer: 49


SOLUTION 1 :
Show  
1
9
  +  
1
3
  using models:

 

 
1
9
+  
1
3


Rename the fractions using a common denominator.

You can break the 
1
3
 piece into three 
1
9
 pieces.

 

 
1
9
+  
1
9
1
9
1
9


Now add:

 
1
9
+  
1
9
1
9
1
9
 
  
 
1
9
1
9
1
9
1
9

 

1
9
 + 
1
3
 = 
4
9


2)  

 Add:

1
4
 + 
1
2
 = 

Answer: 34


SOLUTION 1 :
Show  
1
4
  +  
1
2
  using models:

 

 
1
4
+  
1
2


Rename the fractions using a common denominator.

You can break the 
1
2
 piece into two 
1
4
 pieces.

 

 
1
4
+  
1
4
1
4


Now add:

 
1
4
+  
1
4
1
4
 
   
 
1
4
1
4
1
4

 

1
4
 + 
1
2
 = 
3
4


3)  

 Subtract:

11
12
 – 
1
2
 = 

 
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
–  
1
2

  Answer: 512


SOLUTION 1 :
Show  
11
12
  –  
1
2
  using models:

 

 
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
–  
1
2


Rename the fractions using a common denominator.

You can break the 
1
2
 piece into six 
1
12
 pieces.

 

 
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
–  
1
12
1
12
1
12
1
12
1
12
1
12


Now subtract:

 
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
–  
1
12
1
12
1
12
1
12
1
12
1
12
 
  
 
1
12
1
12
1
12
1
12
1
12

 

11
12
 – 
1
2
 = 
5
12


4)  

Subtract:
 

7
10
 – 
2
5
 = 

Answer: 310



SOLUTION 1 :
Show  
7
10
  –  
2
5
  using models:

Take LCM  is 10

Now subtract

 

7
10
 – 
4
10
 = 
3
10


5)  

 Add:

1
2
 + 
3
8
 = 
 

 
1
2
+  
1
8
1
8
1
8

Answer: 78



SOLUTION 1 :
Show  
1
2
  +  
3
8
  using models:

 

 
1
2
+  
1
8
1
8
1
8


Rename the fractions using a common denominator.

You can break the 
1
2
 piece into four 
1
8
 pieces.

 

 
1
8
1
8
1
8
1
8
+  
1
8
1
8
1
8


Now add:

 
1
8
1
8
1
8
1
8
+  
1
8
1
8
1
8
 
  
 
1
8
1
8
1
8
1
8
1
8
1
8
1
8

 

1
2
 + 
3
8
 = 
7
8


6)  

 Add:

1
12
 + 
5
6
 = 

 
1
12
+  
1
6
1
6
1
6
1
6
1
6

Answer: 1112
 




SOLUTION 1 :
Show  
1
12
  +  
5
6
  using models:

 

 
1
12
+  
1
6
1
6
1
6
1
6
1
6


Rename the fractions using a common denominator.

You can break each 
1
6
 piece into two 
1
12
 pieces.

 

 
1
12
+  
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12


Now add:

 
1
12
+  
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
 
  
 
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12

 

1
12
 + 
5
6
 = 
11
12


7)  

Add:

1
2
 + 
1
4
 = 

Answer: 34



SOLUTION 1 :
Show  
1
2
  +  
1
4
  using models:

 Take LCM is    4

Now add:
 

2
4
 + 
1
4
 = 
3
4


8)  

 Add:

1
3
 + 
4
9
 = 

 
1
3
+  
1
9
1
9
1
9
1
9

Answer: 79



SOLUTION 1 :
Show  
1
3
  +  
4
9
  using models:

 

 
1
3
+  
1
9
1
9
1
9
1
9


Rename the fractions using a common denominator.

You can break the 
1
3
 piece into three 
1
9
 pieces.

 

 
1
9
1
9
1
9
+  
1
9
1
9
1
9
1
9


Now add:

 
1
9
1
9
1
9
+  
1
9
1
9
1
9
1
9
 
  
 
1
9
1
9
1
9
1
9
1
9
1
9
1
9

 

1
3
 + 
4
9
 = 
7
9


9)  

 Add:

5
8
 + 
1
4
 = 

 
1
8
1
8
1
8
1
8
1
8
+  
1
4

Answer: 78



SOLUTION 1 :
Show  
5
8
  +  
1
4
  using models:

 

 
1
8
1
8
1
8
1
8
1
8
+  
1
4


Rename the fractions using a common denominator.

You can break the 
1
4
 piece into two 
1
8
 pieces.

 

 
1
8
1
8
1
8
1
8
1
8
+  
1
8
1
8


Now add:

 
1
8
1
8
1
8
1
8
1
8
+  
1
8
1
8
 
   
 
1
8
1
8
1
8
1
8
1
8
1
8
1
8

 

5
8
 + 
1
4
 = 
7
8


10)  

 Add:

7
10
 + 
1
5
 = 

 
1
10
1
10
1
10
1
10
1
10
1
10
1
10
+  
1
5

Answer: 910



SOLUTION 1 :
Show  
7
10
  +  
1
5
  using models:

 

 
1
10
1
10
1
10
1
10
1
10
1
10
1
10
+  
1
5


Rename the fractions using a common denominator.

You can break the 
1
5
 piece into two 
1
10
 pieces.

 

 
1
10
1
10
1
10
1
10
1
10
1
10
1
10
+  
1
10
1
10


Now add:

 
1
10
1
10
1
10
1
10
1
10
1
10
1
10
+  
1
10
1
10
 
   
 
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10

 

7
10
 + 
1
5
 = 
9
10