 Date: May 14, 2023   # 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.

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

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?