Equivalent Fractions
Let us  take some pictorial representation of fraction.

These fractions are  representing the parts taken from the total number of parts. If we place the pictorial representation of one over the other they are found to be equal.
These fractions are called equivalent fractions.

Understanding equivalent fractions

They represent the same part of a whole.
There are  two ways of obtaining equivalent fractions.

(a)     By multiplying its numerator and denominator by the same number.

(b)     By dividing its numerator and denominator by the same number.

Sol.:     We know 2 × 3 = 6. This means we need to multiply both the numerator and the denominator by 3 to get the equivalent fraction.

Simplest Form of a Fraction
A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.
The shortest way
The shortest way to find the equivalent fraction in the simplest form is to find the HCF of the numerator and denominator, and then divide both of them by the HCF.