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Math Lesson 3.2.3 - Mixed Numbers

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Welcome to our Math lesson on Mixed Numbers, this is the third lesson of our suite of math lessons covering the topic of Proper and Improper Fractions. Mixed Numbers, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Mixed Numbers

Mixed numbers represent another form of improper fraction. A mixed number contains a whole part followed by a proper fraction as shown in the scheme below.
a + b/c = a b/c
For example, we can write
4 + 2/5 = 4 2/5

Example 2

Which of the following numbers are proper fractions / improper fractions / mixed numbers.
9 1/3
17/6
7/12
5 3/7

Solution 2

This number is a mixed number as it contains two parts: a whole part (9) and a proper fraction (1/3).This number is an improper fraction as the numerator (17) is greater than denominator (6). This number is a proper fraction as the numerator (7) is smaller than denominator (12). This number is a mixed number as it contains two parts: a whole part (5) and a proper fraction (3/7).

More Proper and Improper Fractions. Mixed Numbers Lessons and Learning Resources

Fractions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
3.2Proper and Improper Fractions. Mixed Numbers
Lesson IDMath Lesson TitleLessonVideo
Lesson
3.2.1Proper Fractions
3.2.2Improper Fractions
3.2.3Mixed Numbers
3.2.4How to Convert an Improper Fraction into Mixed Number
3.2.5How to Avoid the Confusion between Improper Fractions and Integers Expressed as Fractions
3.2.6How to Convert a Mixed Number into Improper Fraction
3.2.7Applications of Improper Fractions and Mixed Numbers in Practice

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  6. Check your calculations for Fractions questions with our excellent Fractions calculators which contain full equations and calculations clearly displayed line by line. See the Fractions Calculators by iCalculator™ below.
  7. Continuing learning fractions - read our next math tutorial: Comparing Fractions. Ordering Fractions

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