Fractions like have a different numerator and different denominator but represent the same value. These are called equivalent fractions.
To find the equivalent fraction of a given fraction, multiply numerator and denominator by the same number.
\(1/5\) can be converted into its equivalent fraction as, .
The standard form of rational numbers:
A rational number is in standard form if its denominator is positive and the common factor between numerator and denominator should be \(1\).
Steps to convert rational numbers into the standard form:
1. A rational number in the standard form, it will not have a negative sign in the denominator, so should be taken as .
2. Divide the numerator \(p\) and denominator \(q\) by their HCF (Highest Common Factor).
Write in standard form.
1. Take the negative sign from denominator to the numerator, .
2. HCF (Highest Common Factor) of numerator \(12\) and denominator \(8\) is \(4\). Divide numerator \(12\) and denominator \(8\) by \(4\) which is equal to that is .
Thus, the standard form of is .