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How to Round Mixed Numbers

How to Round Mixed Numbers
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  • 0:01 A Mixed Number
  • 0:42 Rounding Review
  • 1:32 Example 1
  • 2:04 Example 2
  • 2:49 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you should be able to round mixed numbers easily and quickly. You will learn about what number to look at to determine whether you should round up or round down.

A Mixed Number

In this video lesson, we talk about rounding mixed numbers. These are numbers made up of a whole number and a fraction part. You'll see this type of number in math textbooks. You might see these in cookbooks, too. For example, when making brownies, the recipe might call for 1 1/2 teaspoons of baking powder. This means that you will be adding one whole teaspoon plus half a teaspoon of baking powder to your mix.

Now, when you're dealing with recipes, you obviously shouldn't round up or round down. If you did, you might end up with a brownie meltdown. But, if you were working with a math problem, then you would want to round up or round down if the problem asked you to do it.

Rounding Review

Let's review rounding just briefly. Do you remember which digit you look at when rounding? You look at the digit directly to the right of the digit you are trying to round. If this digit is 5 or greater, then you round up. But, if this digit is less than 5, then you round down.

But, how does this work for mixed numbers? If you turned your mixed number into a decimal number by dividing the fraction part, then you would do the same thing to round. But, if you wanted to leave your mixed number as it is, then you would look at the numerator part of the fraction to round your mixed number to the nearest whole number. If this numerator number is equal to or greater than half the denominator, then you round up. But, if this number is less than half the denominator, then you round down. Let's look at a couple of examples.

Example 1

Round 5 7/8 to the nearest whole number.

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