ADDING FRACTIONS WITH SAME DENOMINATOR WORKSHEET

Problem 1 : 

Add :

1/5 + 2/5

Problem 2 : 

Add :

5/14 + 2/14

Problem 3 : 

Add :

1/5 + 2/5 + 2/5

Problem 4 : 

Add :

5/24 + 7/24 + 6/24

Problem 5 : 

Add : 

2/13 + 7/13 + 12/13 + 5/13

Problem 6 :

Linda ate 2/7 of a pizza Kemka ate 3/7 of a pizza. How much pizza did both of them eat together?

Problem 7 :

Mr. Alex travelled 4 miles in his car with one-fifth gallon of gas and 7 miles with two-fifths gallon of gas. Find the amount of gas did Mr. Alex use to travel a total distance of 11 miles.

Problem 8 :

The cost of a pencil is two-ninths of a dollar and a pen is five-ninths of a dollar. Find the total cost of one pencil and one pen in dollars.

Answers

1. Answer :

1/5 + 2/5

The given two fractions have the same denominator. That is 5.

So, take the denominator once and add the numerators. 

= (1 + 2)/5

= 3/5

Therefore, 

1/5 + 2/5 = 3/5

2. Answer :

5/14 + 2/14

The given two fractions have the same denominator. That is 14.

So, take the denominator once and add the numerators. 

= (5 + 2)/14

= 7/14

Simplify.

= 1/2

Therefore, 

5/14 + 2/14 = 1/2

3. Answer :

1/5 + 2/5 + 2/5

The given fractions have the same denominator. That is 5.

So, take the denominator once and add the numerators. 

= (1 + 2 + 2)/5

= 5/5

Simplify. 

= 5/5

Therefore, 

1/5 + 2/5 + 2/5 = 1

4. Answer :

5/24 + 7/24 + 6/24

The given fractions have the same denominator. That is 24.

So, take the denominator once and add the numerators. 

= (5 + 7 + 6)/24

= 18/24

Simplify. 

= 3/4

Therefore, 

5/24 + 7/24 + 6/24 = 3/4

5. Answer :

2/13 + 7/13 + 12/13 + 5/13

The given fractions have the same denominator. That is 13.

So, take the denominator once and add the numerators. 

= (2 + 7 + 12 + 5)/13

= 26/13

Simplify. 

= 2

Therefore, 

2/13 + 7/13 + 12/13 + 5/13 = 2

6. Answer :

Amount of pizza that Linda and kemka ate together :

= 2/7 + 3/7

The fractions above have the same denominator. That is 7.

So, take the denominator once and add the numerators. 

= (2 + 3)/7

= 5/7

Linda and Kemka together ate five-sevenths of a pizza.

7. Answer :

Amount of gas used by Mr. Alex to travel a total distance of 11 miles :

= 1/5 + 2/5

The fractions above have the same denominator. That is 5.

So, take the denominator once and add the numerators. 

= (1 + 2)/5

= 3/5

Mr. Alex used three-fifths gallon of gas to travel a total distance of 11 miles.

8. Answer :

Total cost of one pencil and one pen :

= 2/9 + 5/9

The fractions above have the same denominator. That is 9.

So, take the denominator once and add the numerators.

= (2 + 5)/9

= 7/9

The total cost of one pencil and one pen is seven-ninths of a dollar.

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