Question

How do you write the simple fraction equivalent of 0.75?

Answer 1

Hint: we know that fraction is of the form $\dfrac{a}{b}$ and $b \ne 0$. If $b = 0$ the value becomes undefined that is infinity. Here ‘a’ and ‘b’ are natural numbers. Also ‘a’ is called the numerator term and ‘b’ is called the denominator term. We have different types of fraction. Namely proper fraction, improper fraction, mixed fraction and equivalent fractions (like fractions). Like fractions that are alike or can be simplified to get the same fraction.

Compete step by step solution:
Given, 0.75.
Now to find the fraction equivalent, since we have two numbers after the decimal point in the given problem so we multiply and divide by 100.
That is
$0.75 = \dfrac{{0.75 \times 100}}{{100}}$
$= \dfrac{{75}}{{100}}$
Cancelling the numerator and the denominator by 25.
$= \dfrac{3}{4}$.
Thus, the simple fraction equivalent of 0.75 is $\dfrac{3}{4}$.
(Also the fraction equivalent of 0.75 is $\dfrac{{75}}{{100}}$. Since it can be simplified, we divide it by 25.)

Note: Suppose if we have a one number after the decimal point we multiply and divide by 10 to find the fraction. We need to know the different types of fraction.
Proper fraction: In these fractions, the numerator is lesser in value than the denominator. For example $\dfrac{3}{4}$.
Improper fraction: In these fractions, the numerator is greater than the denominator.
For example$\dfrac{4}{3}$.
Mixed fraction: A mixed fraction is obtained by adding a non-zero integer and a proper fraction. For example $1\dfrac{3}{4}$. In the problem if then given a mixed fraction we need to convert it into improper fraction then we simplify it.