20 Examples of Proper Fractions

The proper fractions are those that result from the division between two numbers, where the numerator or dividend (the one that is located in the part fraction) is less than the denominator or divisor (the one located at the bottom of the fraction under). For examples: 3/4, 20/73, 6/21, 64/133.

How are proper fractions expressed?

In this way, the proper fractions can be expressed by a number less than 1, that is, an effectively fractional number.

The concept of proper fraction is simple: you simply need to graph any geometric figure that is easily divisible into equal parts (for For example, a circle, in which you can mark parts like bicycle spokes) and divide it into as many equal parts as the number on the denominator.
Then as many parts as indicated by the numerator can be scratched or colored, the proper fraction will be represented in this way.

Usually people associate the idea of ​​fraction with proper fractions, because in everyday life It is very common for the sale of different food products to be expressed in this way, offering

‘One quarter’, ‘half’ or ‘three quarters’ kilogram of something, all these fractions being their own, being inferior to unity.

Characteristics of proper fractions

A characteristic of proper fractions is that for many purposes they are usually represented by percentagesIt is a kind of "convention" to express the proportions with respect to the number one hundred.

The method to translate a proper fraction (also an improper one, by the way) to the form percentage is looking for the numerator that transforms the fraction into an equivalent of denominator 100, using a 'rule of three' of type A (numerator) is to B (denominator) as X is to 100, representing in X the desired percentage.

Unlike the improper fractions (fractions greater than unity), proper fractions are not capable of being re-expressed as the combination between a whole number and another fractional, since this would require that the whole number be 0.

Proper fractions in mathematics

In the field of mathematics, operations between proper fractions follow the general rules of operations between fractions: for addition and subtraction It is necessary to find the common denominator using equivalent fractions. Whereas for products and quotients it is not necessary to repeat this procedure.

It can also be ensured that the product between two proper fractions will always be a fraction of the same type, while that the quotient between two proper fractions will need the larger to act as the denominator to also be a fraction own.

Examples of proper fractions

Here are some proper fractions as an example:

1. 3/4
2. 100/187
3. 6/21
4. 1/2
5. 20/73
6. 10/11
7. 50/61
8. 9/201
9. 12/83
10. 38/91
11. 64/133
12. 1/100
13. 1/8
14. 8/201
15. 9/11
16. 33/41
17. 40/51
18. 23/63
19. 9/21
20. 1/8000