How to Change a Mixed Number into an Improper Fraction

In order to change a mixed number to an improper fraction, first multiply the denominator and the whole number, then add the numerator. This value should then be placed over the denominator.

Changing Mixed Numbers to Improper Fractions

Changing Mixed Numbers to Improper Fractions

To change a mixed number to an improper fraction, first multiply the denominator times the whole number. Then, add the numerator. You’ll then place that value over the denominator. Let’s look at two examples. For 2 3/4, we’ll first multiply 4 x 2, our denominator times our whole number.

Then, we’ll add our numerator. That value goes over our denominator, 4. 4 x 2 = 8. 8 + 3 = 11. So, 2 3/4 is 11/4 as an improper fraction. Let’s look at one more. 4 2/5. Again, we’re going to start by multiplying our denominator times our whole number. 5 x 4. Then add our numerator. Plus 2. That value goes on top of our denominator, 5. 5 x 4 = 20, plus 2 = 22/5.

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by Mometrix Test Preparation | Last Updated: February 19, 2019