Question

What is 2.05 as a fraction in simplest form?

Answer 1

Hint: Here in this question, we have to convert the given number into fraction. The given number is in the form of decimal, to convert the decimal number to the fraction we multiply and divide the given number by the multiples of 10. The multiple of 10 will depend on the number of terms which are present after the decimal point.

Complete step-by-step solutions:
In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point.
A fraction represents a part of a whole or, more generally, any number of equal parts.
Now consider the given decimal number 2.05
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 2 numbers so we have to multiply and divide the decimal by 100.
For the conversion of decimal to fraction we multiply and divide the number by 100 so we have
\[2.05 \times \dfrac{{100}}{{100}}\]
By multiplying we get
\[ \Rightarrow \dfrac{{205}}{{100}}\]
The value of unit of the number is 5, so we can divide both numerator and denominator by 5 we get
\[ \Rightarrow \dfrac{{41}}{{20}}\]
Again, we can’t divide the both numerator and denominator by any number so retain as it is
\[ \Rightarrow \dfrac{{41}}{{20}}\]
This can’t be simplified for further.

Hence the fraction of 2.05 is \[\dfrac{{41}}{{20}}\] and this is the simplest form.

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 %.