Adding and Subtracting Fractions with Unlike Denominators Worksheet Test

Instructions: Solve the following problems and show all of your work.

Part 1: Adding Fractions with Unlike Denominators

1. Add the following fractions:

   a. 1/3 + 2/5 + 3/4

   b. 5/6 + 3/8 + 1/2

   c. 2/7 + 4/9 + 3/5

   d. 1/2 + 3/4 + 5/6

   e. 7/8 + 2/3 + 4/5

2. Find the value of x:

   a. 1/4 + x/6 = 1/3

   b. 2/5 + x/10 = 3/4

   c. 5/6 + x/4 = 4/5

   d. 3/8 + x/4 = 5/6

   e. 2/3 + x/9 = 7/12

3. Solve the following word problems:

   a. John ate 1/4 of a pizza and his friend ate 2/5 of the same pizza. What fraction of the pizza did they eat together?

   b. A recipe calls for 3/4 cup of flour and 1/2 cup of sugar. What is the total amount of flour and sugar needed for the recipe?

   c. A field hockey team won 3/5 of their games this season and lost 2/7 of their games. What fraction of the total games did they win?

   d. A pizza recipe calls for 2/3 cup of cheese and 1/4 cup of pepperoni. What is the total amount of cheese and pepperoni needed for the recipe?

   e. A company spent 3/4 of their budget on marketing and 1/6 of their budget on research and development. What fraction of their budget is left?

Part 2: Subtracting Fractions with Unlike Denominators

4. Subtract the following fractions:

   a. 3/4 – 2/5

   b. 5/6 – 1/3

   c. 2/3 – 1/4

   d. 3/5 – 1/8

   e. 7/8 – 3/5

5. Find the value of x:

   a. x/4 – 1/6 = 1/3

   b. x/5 – 2/3 = 1/4

   c. x/6 – 2/5 = 1/3

   d. x/7 – 3/4 = 2/5

   e. x/8 – 3/10 = 1/2

6. Solve the following word problems:

   a. A pizza recipe calls for 3/4 cup of cheese and you only have 1/3 cup of cheese. How much more cheese do you need?

   b. A recipe calls for 1/2 cup of milk and you only have 1/4 cup of milk. How much more milk do you need?

   c. If you have 5/6 of a cake and you eat 1/4 of it, how much cake is left?

   d. A recipe calls for 1/3 cup of sugar and you only have 1/8 cup of sugar. How much more sugar do you need?

   e. If you have 2/3 of a bottle of soda and you pour out 1/4 of it, how much soda is left?

Part 3: Adding and Subtracting Fractions with Unlike Denominators

7. Simplify the following fractions:

   a. 4/9 + 1/6 – 2/3

   b. 2/5 – 1/6 + 3/4

   c. 5/6 – 2/3 + 1/4

   d. 3/8 + 1/4 – 5/6

   e. 1/2 – 1/3 + 1/4

8. Find the value of x:

   a. 1/3 + x/4 – 1/6 = 5/12

   b. x/5 – 2/3 + 1/4 = 1/2

   c. 5/6 + x/4 – 2/5 = 1/3

   d. 1/2 – x/6 + 1/4 = 3/8

   e. 2/3 – x/5 + 1/8 = 1/4

9. Solve the following word problems:

   a. Jane had 1/2 of a cake and she gave 1/4 of it to her friend. What fraction of the cake does Jane have left?

   b. A recipe calls for 1/3 cup of flour, 1/4 cup of sugar, and 1/2 cup of milk. If you only have 1/6 cup of flour, 1/8 cup of sugar, and 1/4 cup of milk, how much more of each ingredient do you need?

   c. A company spent 1/3 of their budget on salaries, 1/4 of their budget on rent, and 1/6 of their budget on supplies. What fraction of their budget is left?

   d. A recipe calls for 2/3 cup of flour, 1/4 cup of sugar, and 1/2 cup of milk. If you have 3/4 cup of flour, 1/8 cup of sugar, and 1/3 cup of milk, how much of each ingredient do you have left?

   e. John had 7/8 of a candy bar and he gave 1/4 of it to his friend. What fraction of the candy bar does John have left?