Question

Convert $0.667$ into fraction and percentage.

Answer 1

Hint: It is easy to solve this problem if we first convert it into fraction and then we need to convert it into percentage. This problem is not much confusing because there is no repeating value after the decimal point. So, it is easy to solve this problem, if we know the basic concept of fraction and percentage.

Complete answer:
First let’s convert it into fraction, the given decimal is,
$0.667$
We can write the above decimal value as,
$\dfrac{{667}}{{1000}}$
The above answer is the required fraction.
Now, let’s convert it in to percentage, for that we write the fraction form of $0.667$as,
$\dfrac{{667}}{{1000}}$
To convert it into percentage, we need to multiply the above fraction with $100$, the fraction becomes,
$\dfrac{{667}}{{1000}}*100$$ = 66.7$$\% $
This is the required solution.

Note:
1. In the case, if the question is to convert $0.535353...$ into a fraction. In this, we have to eliminate the number $535353...$ which is present after the decimal point. For that, we have to consider two equations and by eliminating the number $535353$ which is present after the decimal point, we are able to convert it into a fraction. Work out more problems in this topic, I have given hints for many similar problems in this solution itself.
2. In the case of the problem, to convert \[0.7777...\] to a fraction, we need to approach it in the same way as mentioned in the previous point by forming two equations. But we have to multiply it with 10 and subtract two equations. Hence, we get the answer as $\dfrac{7}{9}$.
3. This method is also applicable for the problem, convert $0.51717...$ to fraction. We have to proceed in the same way by multiplying it with 100 and hence two equations were formed. By subtracting both equations we will get the answer. But there is a minute change in this problem, the numerator will be in decimal value. The answer for this problem is $0.51717 = \dfrac{{51.2}}{{99}}$. Solve this problem by yourself and be thorough in this concept.