How to Easily Turn Any Number Into Fractions

 Fractions may seem challenging initially, however, once you learn a few basic tricks, you will realize that changing any number to a fraction is not that challenging at all. The process when it comes to whole numbers, decimals, or repeating decimals has a logical arrangement. Of course, to make the learning process even more intuitive, we will show you in this guide how with just a few steps and some handy visual aids it is possible to convert any number into fractions, i.e. use virtual online graph paper and even websites like printgraphpaper to convert any number into fractions. We will also discuss the concept of such tools as asfraction which assist in transforming the numbers immediately.

1. Whole Irrational Numbers into Fractions.

The simplest to convert are the whole numbers. The whole number N may be expressed as:

N = N/1

Examples:

5 → 5/1

12 → 12/1

100 → 100/1

This is because when divided by 1 it does not alter the value.

You can always multiply numerator and denominator by any non-zero number to make it easy or to make it look in a different form, but 1 is sufficient to get the number in the form of a fraction.

2. How to Change Decimals into Fractions (Quick Process).

Decimals are not as hard as the majority of students presume. Here is the basic rule:

Get the decimal number and write it without the point and then divide it by the place value. Then simplify.

Examples:

0.5 → 5/10 → 1/2

0.75 → 75/100 → 3/4

0.125 → 125/1000 → 1/8

One of your helpful tips is to put your decimal values on online graph paper which is virtual. With the help of graph paper, it is easy to align the digits and place values in a clear way and be exact before conversion. Such websites as printgraphpaper enable you to print grid pages and get a well-organized area to do math activities.

3. Transformation of Repeating Decimals into Fractions.

In the case of repeating decimals, algebra is least difficult.

Let x = the repeating decimal.

Example:

x = 0.333…

Divide by 10 (one repetition):

10x = 3.333…

Subtract the original x:

10x − x = 3.333… − 0.333…

9x = 3 → x = 3/9 → 1/3

This approach is applicable to any repetition of a pattern and even longer repeats such as 0.727272.

4. Incorrect Fractions and Mixed Numbers.

There are cases when you have to do reverse conversion- to convert a number into a fraction when representing a mixed number.

For example, 4.5 → 9/2 → 4 ½

Again graph paper comes in handy. Using virtual online graph paper, you are able to draw number lines, make graphics comparisons between fractions and keep your work in a clean environment. The use of such sites as printgraphpaper can guide students and teachers to design organized learning pages to these conversions.

5. Using Tools Like “asfraction”

The contemporary student is fond of shortcuts and what has been labeled or explained as such asfraction (meaning convert to fraction) will automate the whole procedure. These tools accept a digit or a number and immediately give its fraction in a form. Although it is crucial to know the math, such tools are excellent to make a quick check and confirmation.

6. Practice Makes Perfect

In order to learn to break down any number easily to fractions, it is best to practice in the following routine:

Write your number.

Identify its form (whole number, decimal, repeating decimal).

Use the corresponding conversion rule.

Simplify the result.

Accuracy and visualization Accuracy Use graph paper grids.

Regular practice - particularly of grid papers using virtual online graph paper or printable paper using printgraphpaper - gains confidence and speed.