Finding the Lowest Common Denominator Worksheet Test

Answer each question to the best of your ability. Show all work and simplify all fractions.

Question 1

Find the lowest common denominator (LCD) for the following fractions:

1. 1/3, 2/5, 3/4
2. 4/7, 2/3, 5/8
3. 5/6, 3/4, 2/3

Question 2

Find the lowest common denominator (LCD) for the following fractions:

1. 1/2, 1/3, 1/4, 1/5
2. 2/3, 3/4, 4/5, 5/6
3. 1/6, 1/7, 1/8, 1/9

Question 3

Find the lowest common denominator (LCD) for the following fractions:

1. 3/8, 2/5, 1/4, 5/6
2. 7/10, 2/3, 1/2, 1/3
3. 1/5, 3/4, 2/3, 1/8

Question 4

Find the missing numerator or denominator to make the fractions have the same denominator.

1. 1/4, 3/8, ?/8
2. 2/3, ?/12, 3/4
3. 1/5, ?/25, 2/3

Question 5

Convert each fraction to an equivalent fraction with the lowest common denominator (LCD).

1. 2/3
2. 3/5
3. 1/4

Question 6

Add or subtract the following fractions. Simplify the answer to the lowest terms.

1. 1/4 + 3/8
2. 2/3 – 1/6
3. 5/6 + 2/3 – 3/4

Question 7

Add or subtract the following mixed numbers. Simplify the answer to the lowest terms.

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

Question 8

Complete the following word problems. Show all work and simplify all fractions.

1. John wants to make a cake and needs 3/4 cups of milk and 1/2 cups of sugar. What is the lowest amount of cups he can measure out to have equal parts milk and sugar?
2. A recipe calls for 1/3 cups of flour and 1/2 cups of sugar. What is the lowest amount of cups needed to make four batches of the recipe?
3. A carpenter needs to cut a board that is 2 1/4 yards long into 4 equal pieces. What length should he cut each piece?

Question 9

Solve the following word problems. Show all work and simplify all fractions.

1. A pizza has 8 slices. If 3/4 of the pizza is left, how many slices are left?
2. A farmer has 12 cows and 15 sheep. If he wants to put them in pens with the same number of cows and sheep in each pen, how many pens does he need?
3. A company made 1/3 of its sales in January, 2/5 in February, and the rest in March. What fraction of the sales were made in March?

Question 10

Solve the following word problems. Show all work and simplify all fractions.

1. A cake recipe calls for 2/3 cups of sugar. How much sugar is needed to make 5 cakes?
2. A carpenter needs to cut a board that is 5 1/2 feet long into 6 equal pieces. What length should he cut each piece?
3. A recipe calls for 3/4 cups of flour and 2/3 cups of sugar. How much of each ingredient is needed to make 2 batches of the recipe?

End of Worksheet Test.