Converting Mixed Numbers to Improper Fractions Worksheet Test
Part 1: Converting Mixed Numbers to Improper Fractions
- Convert the mixed number 3 1/2 to an improper fraction.
- Convert the mixed number 2 3/4 to an improper fraction.
- Convert the mixed number 5 2/3 to an improper fraction.
- Convert the mixed number 4 5/8 to an improper fraction.
- Convert the mixed number 1 7/12 to an improper fraction.
- Convert the mixed number 6 1/5 to an improper fraction.
- Convert the mixed number 2 2/3 to an improper fraction.
- Convert the mixed number 7 3/4 to an improper fraction.
- Convert the mixed number 9 1/6 to an improper fraction.
- 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.
| Improper Fraction | Simplified Fraction |
|---|---|
| 11/2 | |
| 7/3 | |
| 19/4 | |
| 31/8 | |
| 17/5 | |
| 23/6 | |
| 29/7 | |
| 37/9 | |
| 41/10 | |
| 47/11 |
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.
| Mixed Number | Improper Fraction | Simplified Fraction |
|---|---|---|
| 2 1/2 | ||
| 1 3/4 | ||
| 3 5/6 | ||
| 4 1/8 | ||
| 5 7/12 | ||
| 6 2/5 | ||
| 2 7/8 | ||
| 7 2/3 | ||
| 8 1/6 | ||
| 9 3/5 |
Part 4: Converting Improper Fractions to Mixed Numbers
For the following questions, convert the improper fractions to mixed numbers.
| Improper Fraction | Mixed Number |
|---|---|
| 9/2 | |
| 11/3 | |
| 13/4 | |
| 15/5 | |
| 17/6 | |
| 19/7 | |
| 21/8 | |
| 23/9 | |
| 25/10 | |
| 27/11 |
Part 5: Application Problems
- A recipe calls for 2 3/4 cups of flour. How many cups of flour is this as an improper fraction?
- A piece of wood is 5 2/3 feet long. How many inches long is it?
- 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?
- 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?
- A pizza is divided into 8 equal slices. If 5/8 of the pizza is eaten, how many slices are left?
- 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?
- 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?
- 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?
- A runner completed a 10-mile race in 1 hour and 20 minutes. What was the runner’s average pace in miles per minute?
- 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?