How to Change Numerator and Denominator of Rational Numbers || Standard form of Rational Numbers

To change the numerator and denominator of a rational number, follow these steps: Write the given rational number as a fraction with the original numerator and denominator. Multiply both the numerator and denominator by the same nonzero integer to obtain an equivalent fraction with the desired numerator and denominator. If necessary, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common factor. For example, to change the numerator and denominator of the rational number 2/3 to 4/5: Write 2/3 as a fraction: 2/3. Multiply both the numerator and denominator by the same nonzero integer to obtain an equivalent fraction with the desired numerator and denominator. In this case, we can multiply both by 10: (2/3) * 10/10 = 20/30 Simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the greatest common factor of 20 and 30 is 10: (20/10) / (30/10) = 2/3 Therefore, the rational number 2/3 can be changed to 4/5 by multiplying both the numerator and denominator by 5/3: (2/3) * (5/3) = 10/9 Simplifying by dividing by the greatest common factor of 10 and 9 (which is 1), we get: 10/9 = 4/5.