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In addition to the revision notes for Proper and Improper Fractions. Mixed Numbers on this page, you can also access the following Fractions learning resources for Proper and Improper Fractions. Mixed Numbers
| Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
|---|---|---|---|---|---|---|
| 3.2 | Proper and Improper Fractions. Mixed Numbers |
In these revision notes for Proper and Improper Fractions. Mixed Numbers, we cover the following key points:
Proper fractions are those fractions that have their numerator smaller than the denominator. They represent smaller amounts than the whole.
Improper fractions are those fractions that have their numerator greater than the denominator. They represent larger amounts than the whole.
We can also express improper fractions as mixed numbers, where a proper fraction follows the whole part. Improper fractions and mixed numbers are two different methods of representation of the same amount.
An improper fraction can be converted into a mixed number by dividing the numerator by its denominator. The quotient of division represents the whole part of the mixed number; the remainder of the division represents the numerator of the mixed number while the denominator does not change, as it represents the way of division and does not have to do with the amount we are dealing with.
When the numerator of a fraction is a multiple of its denominator, we are dealing with an integer, not an improper fraction. In such cases, when we divide the fraction's numerator by its denominator, we obtain a quotient without any remainder.
We can convert a mixed number into improper fraction by multiplying the whole part of the mixed number by the denominator and then adding the numerator. This gives only the numerator of the improper fraction as the denominator does not change.
Fractions have a lot of applications in practice, especially when expressing numbers in terms of a set of items.
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