the numerator of a rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator, the numbers simplist from os 1/2. what is the rational number?
Answers
Answer:
let the numerator be x and denominator be 2x
=>x-1/2x-1
first of all let us know what are rational numbers :-
In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.
examples of few rational numbers :-
For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.
now, here's the solution to your question
Let the denominator be x
Numerator = x-2
Rational no. = x-2/x
A.T.Q
x-2-1/x-1 = 1/2
x-3/x-1 = 1/2
2(x-3) = 1( x-1)
2x - 6 = x -1
2x-x = -1 +6
x = 5
Rational no. = 5-2/5 = 3/5
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