Question

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and denominator is decreased by 1, then expression for new denominator is

Answer 1

Answer:

Step-by-step explanation:

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is x + 9. Let us assume numerator be x, So, denominator = x + 10 Rational number = x/(x + 10) As per the condition given in the question, the numerator is increased by 1 and the denominator is decreased by 1. New rational number = Numerator + 1/ (denominator – 1) = (x + 1)/(x + 10 – 1) = (x + 1)/(x + 9) ∴The new denominator is x + 9.Read more on Sarthaks.com - https://www.sarthaks.com/849091/the-denominator-rational-number-greater-than-the-numerator-by-10-the-numerator-increased

Answer 2

Step-by-step explanation:

let the numerator be prime n^ prime and the denominator be 'd' thus the rational number is given by 'n/d' given that, the denominator is greater than the numerator by 10 i.e d = n + 10 now,the rational no. becomes 1n/(n+10)^ prime Now given that if numerator is increased by 1 and the denominator is decreased by 1, then the no. becomes ``n+1/(n+1O-1)^ prime =; n + 1 / (n + 9) therefore, the new expression for the denominator is prime n+9^ prime