Converting Mixed Numbers to Improper Fractions Worksheet Test

Part 1: Converting Mixed Numbers to Improper Fractions

1. Convert the mixed number 3 1/2 to an improper fraction.
2. Convert the mixed number 2 3/4 to an improper fraction.
3. Convert the mixed number 5 2/3 to an improper fraction.
4. Convert the mixed number 4 5/8 to an improper fraction.
5. Convert the mixed number 1 7/12 to an improper fraction.
6. Convert the mixed number 6 1/5 to an improper fraction.
7. Convert the mixed number 2 2/3 to an improper fraction.
8. Convert the mixed number 7 3/4 to an improper fraction.
9. Convert the mixed number 9 1/6 to an improper fraction.
10. Convert the mixed number 8 5/8 to an improper fraction.

Part 2: Simplifying Improper Fractions

For the following questions, simplify the improper fractions to the lowest terms.

Part 3: Converting Mixed Numbers to Improper Fractions and Simplifying

For the following questions, convert the mixed numbers to improper fractions and simplify the fractions to the lowest terms.

Part 4: Converting Improper Fractions to Mixed Numbers

For the following questions, convert the improper fractions to mixed numbers.

Part 5: Application Problems

1. A recipe calls for 2 3/4 cups of flour. How many cups of flour is this as an improper fraction?
2. A piece of wood is 5 2/3 feet long. How many inches long is it?
3. A football team has scored 31 touchdowns this season. If each touchdown is worth 6 points, how many points has the team scored in total?
4. A contractor has 3 5/8 yards of fabric. If each curtain requires 1 3/4 yards of fabric, how many curtains can the contractor make?
5. A pizza is divided into 8 equal slices. If 5/8 of the pizza is eaten, how many slices are left?
6. A student ran 3 3/4 miles on Monday and 4 1/3 miles on Tuesday. How many miles did the student run in total?
7. A recipe calls for 1 1/2 cups of sugar. If you want to make half the recipe, how many cups of sugar do you need?
8. A baker uses 2 3/4 cups of sugar for one batch of cookies. If she wants to make 5 batches of cookies, how many cups of sugar does she need?
9. A runner completed a 10-mile race in 1 hour and 20 minutes. What was the runner’s average pace in miles per minute?
10. A tank can hold 37 1/2 gallons of water. If it is currently 3/4 full, how many gallons of water are in the tank?