Mixed Numbers to Improper Fractions Worksheet

Printable “Rewriting Fraction” worksheets:
Equivalent Fractions
Reduce Fractions (proper fractions)
Simplify Fractions (proper & improper fractions)
Improper Fractions to Mixed Numbers
Mixed Numbers to Improper Fractions

Free printable and online worksheets to help Grade 5 students practice converting mixed numbers to improper fractions. Also, scroll down the page for fraction word problems with answers.

How to convert a mixed number to an improper fraction?

When adding or subtracting fractions with different denominators, you may need to convert mixed numbers to improper fractions in order to find a common denominator and perform the operation.

When multiplying or dividing fractions, you may need to convert mixed numbers to improper fractions before performing the calculation.

An improper fraction is a fraction where the numerator is equal to or greater than the denominator. A mixed number is a combination of a whole number and a proper fraction.

To convert a mixed number to an improper fraction, follow these steps:
Step 1: Write down the mixed number as a whole number, a numerator, and a denominator. For example, if you have the mixed number 3 1/2, you would write it as a whole number 3, a numerator 1, and a denominator 2.
Step 2: Multiply the whole number by the denominator, and then add the numerator. This will give you the new numerator for the improper fraction. For example, using the mixed number 3 1/2: 3 x 2 + 1 = 7
So, the numerator of the improper fraction is 7.
Step 3: Keep the denominator the same. For example, using the mixed number 3 1/2:
The denominator remains 2.
Step 4: Write the new numerator over the denominator to form the improper fraction. For example, using the mixed number 3 1/2:

The improper fraction is 7/2.
So, 3 1/2 as an improper fraction is 7/2.

Another example is shown here:

 

Have a look at this video if you need to review how to convert mixed numbers to improper fractions.

• Mixed Numbers to Improper Fractions

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Mixed Numbers to Improper Fractions Worksheets.

 

More Mixed Numbers to Improper Fractions Worksheets

Printable
(Answers on the second page.)
Mixed Numbers to Improper Fractions Worksheet #1
Mixed Numbers to Improper Fractions Worksheet #2
Mixed Numbers to Improper Fractions Worksheet #3

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Mixed numbers to improper fractions

Mixed Numbers to Improper Fractions Word Problems

1. John traveled 3 3/4 hours on Monday and 2 1/2 hours on Tuesday. What is the total time he spent traveling on both days?

   • Show Answer

     25/4 = 6 1/4

2. A recipe calls for 2 1/4 cups of flour, but Sarah only has 1/2 cup of flour. How much more flour does she need to complete the recipe?

   • Show Answer

     7/4 = 1 3/4

3. Sarah had 4 3/5 pounds of flour, and she used 1 4/5 pounds of flour to make a cake. How much flour does Sarah have left?

   • Show Answer

     14/5 = 2 4/5

Related Lessons & Worksheets

Convert between mixed numbers and improper fractions

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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