Most of them continue school math courses for years and are still confused about some basic things. For example: Why can not you share with zero? Why is it .999 … 1, and no less?

There are many kinds of such questions that do not disappoint when they are reasonably and clearly taught.

Unfortunately, most of these things belong to elementary school, and most elementary school teachers have no thorough knowledge of basic mathematical concepts. Instead, they claim to teach only a collection of "skills".

One of the simplest concepts that is generally not given correctly is the difference between fractions and rational numbers. Let's see if you can delete it now.

Fraction ** ** is a number that expresses a whole part as a fraction of integers (where the denominator is not zero).

The ** rational number ** is a number that can be expressed as a quotient of integers (where the denominator is not zero) or a repeating or ending decimal number. Each faction fits in the first part of the definition. Therefore, each faction is a rational number.

But although every burst is a rational number, it is not a fragment of all rational numbers.

Why? Consider this:

* All *

**integers**(the integer including the zero value and their negatives …- 3, -2, -1, 0, 1, 2 , 3 …)

**because it can be expressed as the ratio of integers such as 4 = 8/2 or 1 = 3/3 or -3 = 3 / -1 and so on. So the integers can be expressed as the ratio of integers to 4 or 1 integers.**

*is a rational number* * But a whole number is not a fragment * . 4 is an integer, but this is not a fragment. 4 is not the ratio of integers. The difference is in the text.

A fraction is a number that expresses a whole part of it. An integer is not an explicit part. It only expresses an integer.

A rational number is a number that can be expressed as a whole or a whole number of integers but the fraction is a number that is a ratio of * to integer numbers or as a whole. The difference is delicious, but real. *

There are slightly different variations in the definition of the fraction, including: "The fraction is a ratio of two integers or simply an integer divided by another integer."

* This definition also shows that an integer is not a fragment because an integer is not a ratio. The ratio can be expressed in proportion, but not by itself; then can be shared with another integer but not * divided by . In a nutshell, the factions are a part of rational numbers.

**Rational numbers include whole numbers, and fragments do not.**