Question

What is $2.75$ written as a fraction?

Answer 1

Hint: Here in this question, we have to convert the given number into a fraction in the form $\dfrac{p}{q}$ . The given number is in the form of a decimal. To convert the decimal number to the fraction we multiply the given number by the multiples of $10$.

Complete step by step solution:
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 $2$ digits, so we have to multiply and divide the decimal by the second power of $10$.
We know that the second power of ten is ${10^2} = 100$.
So, for the conversion of the number in decimal form into fractions, we multiply and divide the number by $10$. So, we have,
$ \Rightarrow 2.75 \times \dfrac{{100}}{{100}}$
Doing the multiplication in the numerator and writing the product, we get,
$ \Rightarrow \dfrac{{275}}{{100}}$
Now, there is a common factor in numerator and denominator. Hence, canceling the common factors in numerator and denominator, we get,
$ \Rightarrow \dfrac{{11}}{4}$
Now, the fraction is in the simplest form.
Hence, the number given in decimal form as $2.75$ can be represented as a fraction in the form $\dfrac{p}{q}$ as $\dfrac{{11}}{4}$.
So, the correct answer is “$\dfrac{{11}}{4}$”.

Note: The number can be converted from one form to the other form. For the conversion of a decimal number into a fraction, 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 separated by a horizontal line. A fraction represents a part of a whole quantity. One must be sure of the calculative steps.