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Math Lesson 3.2.2 - Improper Fractions

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Welcome to our Math lesson on Improper Fractions, this is the second 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.

Improper Fractions

When the numerator is greater that denominator, the fraction is known as improper. In this case, the value of fraction is greater than the whole. For example, if we want to express the value one and a half we write it as 3/2 because this amount represents three halves of an item, as shown below. Math Tutorials: Proper and Improper Fractions. Mixed Numbers Example

Example 1

What fractions do the following figures represent? Math Tutorials: Proper and Improper Fractions. Mixed Numbers Example

Solution 1

a) There are three whole squares containing 3 × 3 = 9 coloured strips and 2 other strips from the fourth square. In total, there are 9 + 2 = 11 strips. Hence, the numerator is 11. Since each square contains 3 strips (denominator = 3), the fraction corresponding to the first figure is 11/3. b) There are two pentagons of 5 triangles each; in total 2 × 5 = 10 triangles, plus two other triangles from the third pentagon, in total 12 triangles (numerator = 12). Since each pentagon contains 5 triangles, the denominator is 5. The fraction is therefore 12/5.

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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  7. Continuing learning fractions - read our next math tutorial: Comparing Fractions. Ordering Fractions

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