How to Convert Mixed Numbers to Improper Fractions
Learn the multiply-and-add method for turning a mixed number into an improper fraction. Follow the worked examples, then try it yourself.
See It
Study the worked examples below. Each step is shown so you can follow exactly how the problem is solved.
Do It
Now it's your turn. Grab a pencil and paper and try these problems using the method you just studied.
Check It
Done? Reveal the answer key to check your work.
How Do You Convert a Mixed Number to an Improper Fraction?
A mixed number like 2 3/4 combines a whole number with a fraction. To convert it to an improper fraction, multiply the whole number by the denominator (2 × 4 = 8), add the numerator (8 + 3 = 11), and place the result over the original denominator: 11/4.
This works because the whole number 2 is really 8/4, and 8/4 + 3/4 = 11/4. The method is sometimes called 'multiply, add, keep' — multiply the whole by the denominator, add the numerator, keep the denominator.
Converting mixed numbers to improper fractions is essential for multiplying and dividing fractions, since those operations require a single fraction rather than a mixed number. Mastering this conversion makes fraction arithmetic much smoother.
This Is One Activity From Book 2: Fractions
The full book has 40 activities just like this one — each with worked examples, matching practice problems, and a complete answer key. No tutor needed. No app. Just a pencil and a workbook.
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