Converting Decimals to Fractions

Converting a simple fraction to a decimal number is easier than you might think.
To do it without making a mistake, we recommend reviewing the reading of decimal numbers and making sure you know how to do it well.
If you really know how to correctly read decimal numbers, you are guaranteed success when trying to convert a decimal number to a simple fraction.

As is known, decimal numbers are composed of an integer part and a fractional part which, in turn, is composed of tenths, hundredths, and thousandths.
When converting tenths, hundredths, and thousandths into the denominator of the fraction we obtain:

Magnificent! Now let's remember that, in order to correctly read a decimal number we must find out what its last digit symbolizes.

For example, how would we read the decimal number $0.87$?
$7$ is its last digit and it represents the hundredths, therefore, we will call the decimal number $87$ hundredths.
Bingo! We have learned the signaling of the hundredths:

$X \over 100$

All that remains for us to do is to place $87$ in the numerator and get the simple fraction of the decimal number $0.87$:

Convert the decimal number $0.3$ to a fraction
Solution:
Let's ask ourselves, how is the decimal number read? 
$3$ tenths.
Therefore, we will use the notation for tenths and place $3$ in the numerator: $3 \over 10$

Convert the decimal number $0.200$ to a fraction
Solution:
Let's ask ourselves, how is the decimal number read?
$200$ thousandths.
Therefore, we will use the notation for thousandths and place $0.200$ in the numerator: $200 \over 1000$
Pay attention, if the fraction can be simplified, you can do so without changing its value:

$\frac{2}{10}=\frac{200}{1000}$

And, indeed, we already know that: $0.200 = 0.2$

Convert the decimal number $0.75$ to a fraction
Solution:
Let's ask ourselves, how is the decimal number read? 
$75$ hundredths.
Therefore, we will use the notation of hundredths and place $75$ in the numerator

$75 \over100$

We can reduce by dividing by $25$ and we will obtain: $3 \over 4$

What happens when the figure of the whole part is not $0$?
Simply place the whole number next to the fraction and continue operating according to what has been studied.
For example:
Convert the decimal number $4.25$ to a fraction.
Solution:
Let's ask ourselves, how is the decimal number read?
$4$ and $25$ hundredths.
Therefore, we will use the notation of hundredths and place $25$ in the numerator. Let's not forget to add $4$ wholes to its side:
$4 \frac{25}{100}$