Question

How do you convert 0.75 as a decimal fraction?

Answer 1

Hint: The given number is in decimal form. This form can be written in fraction form as well. This is done by multiplying and dividing the number by 10 or powers of 10. This is decided by the number of decimal places. Converting into fraction will remove the decimal places and the number is written in the form of numerator and denominator.

Complete step-by-step solution:
Given is the decimal number,
0.75
Now we can observe the number of decimal places is 2. So we will multiply the numerator and denominator by 100.
\[ = 0.75 \times \dfrac{{100}}{{100}}\]
Now we will multiply the numerator by 100,
\[ = \dfrac{{75}}{{100}}\]
100 in the denominator remains the same because it is multiplied by 1.
Now this is the decimal fraction in the form of numerator and denominator.

Thus the correct answer is \[\dfrac{{75}}{{100}}\].

Note: Note that we counted the decimal places are the number of places after the decimal point. If further simplified the fraction above can be written as \[ = \dfrac{3}{4}\] because we divide the fraction by 25.

Generally, when we convert a fraction into decimal what we do is actually perform the division and when we convert a fraction into percentage, we multiply it with 100 directly. Whereas when we convert decimal into percentage we just multiply it by 100 only because we have just converted the fraction into decimal that’s it!