20 Examples of Fractions

The fractions They are elements of mathematics that represent the proportion between two figures. It is precisely for this reason that the fraction is completely associated with the operation of division, in fact it can be said that a fraction is a division or a quotient between two numbers. For example: 4/5, 21/13, 44/9, 31/22.

Being a quotient, the fractions can be expressed as their result, that is, a unique number (whole or decimal), so that all of them can be re-expressed as numbers. As well as in the opposite sense: all numbers can be re-expressed as fractions (whole numbers are conceived as fractions with denominator 1).

The writing of the fractions follows the following pattern: there are two numbers written, one above the other and separated by a middle dash, or separated by a diagonal line, similar to the one written when representing a percentage (%). The number at the top is known as the numerator, the one at the bottom as the denominator; the latter is the one that acts as a divider.

For example, the fraction 5/8 represents 5 divided by 8, so it equals 0.625. If the numerator is greater than the denominator it means that the fraction is greater than unity, so it can be restated as an integer value plus a fraction less than 1 (for example, 50/12 equals 48/12 plus 2/12, that is, 4+2/12).

In this sense it is easy to see that the same number can be re-expressed by an infinite number of fractions; in the same way that 5/8 will be equal to 10/16, 15/24 and 5000/8000, always equivalent to 0.625. These fractions are called equivalents and they always maintain a direct proportional relationship.

In the everyday, fractions are generally expressed with the smallest figures possible, for this the smallest whole denominator is sought that makes the numerator also integer. In the example of the previous fractions, there is no way to reduce it even more, since there is no integer less than 8 that is also a divisor of 5.

Fractions and math operations

With regard to the basic mathematical operations between fractions, it should be noted that for the sum and the subtraction the denominators must match and must therefore be found by means of the equivalence the least common multiple (for example, 4/9 + 11/6 is 123/54, since 4/9 is 24/54 and 11/6 is 99/54).

For the multiplications and the divisions, the process is somewhat simpler: in the first case, multiplication between numerators is used over multiplication between denominators; in the second, a multiplication is performed 'crusade'.

Fractions in everyday life

It must be said that fractions are one of the elements of mathematics that appear most frequently in everyday life. An enormous number of products are sold expressed as fractions, either of kilo, from liter, or even arbitrary and historically established units for certain items, such as eggs or invoices, which go by the dozen.

So we have 'Half a dozen’, ‘a quarter of a kilo',' Five percent discount ',' three percent interest, etc., but all of them involve understanding the idea of ​​a fraction.

Examples of fractions

1. 4/5
2. 21/13
3. 61/2
4. 1/3
5. 40/13
6. 44/9
7. 31/22
8. 177/17
9. 30/88
10. 51/2
11. 505/2
12. 140/11
13. 1/10⁸
14. 6/7
15. 1/7
16. 33/9
17. 29/7
18. 101/100
19. 49/7
20. 69/21