Question

How do you convert $\dfrac{4}{5}$ into a decimal and percent?

Answer 1

Hint:To convert any fraction into decimal ,one way possible is to make a denominator in powers of 10 and shift the numerator value decimal point towards left up to places equal to the exponent value of 10 or simply divide the fraction . And to calculate percentage from a fraction, multiply the given fraction with 100 to get your
required result.

Complete step by step solution:
We are given a fraction $\dfrac{4}{5}$.
First, we will check if it is possible to convert the denominator i.e. 5 in the powers of 10 by multiplying with some value x.
5 can be converted into 10 by multiplying it with 2.
As we know that we cannot multiply any value directly with numerator or denominator only as it disbalances the fraction.
So we will multiply and divide 2 with our fraction. We get
$
= \dfrac{4}{5} \times \dfrac{2}{2} \\
= \dfrac{8}{{10}} \\
$
Now shifting decimal point from numerator up to the exponent value of $10$ i.e. 1 towards left $ = 0.8$
Therefore, the decimal equivalent of the fraction $\dfrac{4}{5}$ is equal to $0.8$
Now, we will convert $\dfrac{4}{5}$ into percent
So in order to convert any fraction into percent, multiply it with 100 and add % symbol in the end.
Here our fraction is $\dfrac{4}{5}$, multiplying it with 100 we get
$
= \dfrac{4}{5} \times 100 \\
= 4 \times 20 \\
= 80\% \\
$
Therefore, the decimal and percent equivalent of the fraction $\dfrac{4}{5}$is $0.8$ and $80\%$ respectively.

Note:
1. Don’t Forgot to remove the decimal point in the end .
2. To calculate fraction from the percentage , divide the given percentage value by 100
For example : We have to write $70\% $into fraction
$
= \dfrac{{70}}{{100}} \\
= \dfrac{7}{{10}} \\
$
Or
$ = 0.7$
3. If you want to Increase a Number by y %:
Example: On the off chance that a number is expanded by \[10{\text{ }}\% \], at that point it becomes 1.1 times of itself. On the off chance that a number is expanded by 30 %, at that point it becomes 1.3 times of itself.
4. If you want to Decrease a Number by y %:
Example: On the off chance that a number is diminished by 10 %, at that point it becomes 0.90 times of itself. On the off chance that a number is diminished by 30 %, at that point it becomes 0.70 times of itself.