﻿ How to turn a decimal into a fraction — Math18

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# How to turn a decimal into a fraction

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## How to convert decimals to fractions?

To convert from decimals to fractions we must take into consideration some very simple steps that will allow conversion in a simple way.

Steps to convert from decimals to fractions:

For example the decimal number: 0.25

1. First we must express the decimal number as a fraction, therefore, it is known that any number divided by one would result in the same number. In the form of a fraction it would be expressed as follows:
0.25
/
1
2. We perform counting numbers to the right of the decimal point and multiplied by 10 to the amount of numbers. It is important to multiply the numerator and the denominator value unchanged fraction. The result obtained corresponds to the decimal number converted to a fraction.
0.25 x 102
/
1 x 102
=
0.25 x 100
/
1 x 100
=
25
/
100
3. It is possible to rule out the third step, in this case consisting of verifying whether it is possible to simplify the fraction, in other words finding an equivalent fraction.
25
/
100
=
1
/
4

By dividing the numerator and denominator by 25 we obtain that the equivalent fraction is 1/4.

Example:

0.42 =
0.42 x 102
/
1 x 102
=
42
/
100
=
21
/
50

0.2 =
0.2 x 101
/
1 x 101
=
2
/
10
=
1
/
5

0.25 =
0.25 x 102
/
1 x 102
=
25
/
100
=
1
/
4

Exercise:

A) 0.40 = ?
B) 0.2 = ?
C) 1.2 = ?
D) 0.08 = ?

The result is with the simplified fraction.

## How to convert fractions to decimals?

To be able to convert from fractions to decimals, it is a very simple process, in fact, what must be done is to divide the numerator between the denominator.

As an example we want to convert the fraction 3/4 to decimal form, for this we only do the division:

0.7 5 4  3.0 0     -2 8         2 0        -2 0            0

The fraction 3/4 in decimal form is equal to 0.75.

Example:

8
/ 10
= 0.8

6
/ 8
= 0.75

3
/ 6
= 0.5

Exercise:

A) 2/8 = ?
B) 4/6 = ?
C) 1/2 = ?
D) 5/8 = ?

### Trick to convert fractions to decimals

If in the fraction the denominator is 10,100, 1000, and so on we only have to traverse the point with respect to the number of zeros. Therefore, if the fraction can be simplified to a denominator of 1 with leading zeros, it would be easier to convert to decimals.

Examples:

5
/ 100
= 0.05

2
/ 10
= 0.2

15
/ 1000
= 0.015

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