Question

How do you convert 0.175 into fraction and percent?

Answer 1

Hint: Here in this question, we have to convert the given number into fraction and percentage. The given number is in the form of decimal, to convert the decimal number to the fraction we multiply the given number by the multiples of 10. And then to convert the fraction into percentage we multiply the given fraction into 100.

Complete step-by-step answer:
The given number is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there are 3 numbers so we have to multiply and divide the decimal by 1000.
For the conversion of decimal to fraction we multiply and divide the number by 1000 so we have
 $ 0.175 \times \dfrac{{1000}}{{1000}} $
By multiplying we get
 $ \Rightarrow \dfrac{{175}}{{1000}} $
The value of unit of the number is 5, so we can divide both numerator and denominator by 5 we get
 $ \Rightarrow \dfrac{{35}}{{200}} $
Again, we can divide the both numerator and denominator by 5 we get
 $ \Rightarrow \dfrac{7}{{40}} $
This can’t be simplified for further. Hence the fraction of 0.175 is $ \dfrac{7}{{40}} $
So, the correct answer is “ $ \dfrac{7}{{40}} $ ”.

Now we convert this to percentage. For the conversion from fraction to percentage we multiply the fraction by 100. So, we have
 $ \dfrac{7}{{40}} \times 100 $
On simplification we get
 $ \Rightarrow \dfrac{7}{4} \times 10 $
We divide the 4 and 10 by 2 we get
 $ \Rightarrow \dfrac{7}{2} \times 5 $
On further simplification we get
 $
   \Rightarrow \dfrac{{35}}{2} \\
   \Rightarrow 17.5\% \;
  $
Hence the percentage of $ \dfrac{7}{{40}} $ is 17.5%
Hence, we have converted the number to fraction and decimal.
So, the correct answer is “17.5%”.

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol %.