Improper Fractions to Mixed Numbers Worksheet

Printable “Rewriting Fractions” worksheets:
Equivalent Fractions
Reduce Fractions (proper fractions)
Simplify Fractions (proper & improper fractions)

Improper Fractions to Mixed Numbers
Mixed Numbers to Improper Fractions

How to convert an improper fraction to a mixed number?

Free printable and online worksheets to help Grade 5 students practice converting improper fractions to mixed numbers. After performing some fraction calculations, you will usually be required to reduce or simplify the answer. When we simplify an improper fraction, we will get a mixed number. Also, scroll down the page for fraction word problems with answers.

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 an improper fraction to a mixed number, follow these steps:
Step 1: Divide the numerator (the top number) by the denominator (the bottom number) to get the whole number part.
Step 2: Take the remainder from the division and use it as the numerator of the fractional part.
Step 3: The denominator of the fractional part remains the same. The new fraction would be a proper fraction. Simplify this fraction, if possible.

Here’s an example:
Change the improper fraction 7/3 to a mixed number.

Step 1: Divide 7 by 3: 7 ÷ 3 = 2 with a remainder of 1. So the whole number part is 2.
Step 2: The remainder, 1, becomes the numerator of the fractional part.
Step 3: The denominator of the fractional part remains the same, which is 3.
So the mixed number equivalent of 7/3 is 2 1/3.

Here’s another example:

Change the improper fraction 11/4 to a mixed number.

Step 1: Divide 11 by 4: 11 ÷ 4 = 2 with a remainder of 3. So the whole number part is 2.
Step 2: The remainder, 3, becomes the numerator of the fractional part.
Step 3: The denominator of the fractional part remains the same, which is 4.
So the mixed number equivalent of 11/4 is 2 3/4.

Example:

 

Have a look at this video if you need to review how to convert from an improper fraction to a mixed number.

• Improper Fractions to Mixed Numbers

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Scroll down the page for more Improper Fractions to Mixed Numbers Worksheets.

 

More Improper Fractions to Mixed Numbers Worksheets

Printable
(Answers on the second page.)
Improper Fractions to Mixed Numbers Worksheet #1
Improper Fractions to Mixed Numbers Worksheet #2
Improper Fractions to Mixed Numbers Worksheet #3 (mental math)
Improper Fractions to Mixed Numbers Worksheet #4 (mental math)

Online
Improper fractions to mixed numbers
Simplifying Fractions

Improper Fractions to Mixed Numbers Word Problems

1. David ran 11/4 miles in the morning and another 3/4 miles in the evening. How far did David run in total? Give your answer in mixed number.

   • Show Answer

     15/4 = 4 3/4

2. Lisa spent 5/3 hours doing homework on Monday and 2/3 hours doing homework on Tuesday. How much time did Lisa spend on homework in total? Give your answer in mixed number.

   • Show Answer

     7/3 = 2 1/3

3. A recipe calls for 7/4 cups of flour and 1/2 cup of sugar. How much flour and sugar are needed> Give your answer in mixed number.

   • Show Answer

     9/4 = 2 1/4

4. Sarah had 9/2 pounds of flour, and she used 3/2 pounds of flour to make a cake. How much flour does Sarah have left?

   • Show Answer

     6/2 = 3

Related Lessons & Worksheets

Lesson on Mixed Numbers

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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