Mixed Numbers to Improper Fractions Worksheet


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We have five groups of 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:

Mixed Number to Improper Fraction
 

Have a look at this video if you need to review how to reduce fractions.




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

Mixed Numbers to Improper Fractions Worksheet
 

More Mixed Numbers to Improper Fractions Worksheets

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Mixed Numbers to Improper Fractions Worksheet
(Answers on the second page.)

Online
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?

  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?

  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?

Convert between mixed numbers and improper fractions

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