There are two ways of finding Equivalent Rational Numbers:
Find Equivalent Rational Number by Multiplication Method:
By multiplying both numerator and denomination of rational numbers with same integer (non-zero); we can obtain its equivalent rational number
Example 1 : Find equivalent rational number to 4/-5 by Multiplication Method
To find equivalent rational number, we multiply both denominator and numerator of the given rational number with 2 and we get:
4 X 2 / -5 X 2
= 8 / -10
Hence 8/-10 is is the equivalent fraction of 4/-5
Find Equivalent Rational Number by Division Method:
By dividing both numerator and denomination of rational numbers by same integer (other than zero); we can obtain its equivalent rational number (Divisor is to be selected in a way that it completely divides both numerator and denominator; without leaving any remainder.)
Example 2 : Find equivalent rational number to -18 / -54 by Division Method
To find equivalent rational number, we divide both denominator and numerator of the given rational number by 9 and we get:
(-18 / 9 ) / (-54 / 9)
-2 / -6
Hence, -2 / -6 is the equivalent fraction of -18 / -54
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