If a rational number is equal to 3/5, and the
sum of its numerator and denominator is 16,
what is the rational number?
Answers
Answer:
3/5 is rational number
3/5=16(due to numerator and denominator)
Step-by-step explanation:
•3/5=16/1
•3×16/5×1
•48/5
•9.6 or 48/5
Correct Question
If the lowest form of a rational number is equal to 3/5, and the sum of its numerator and denominator is 16, what is the rational number?
Answer
The rational expression is 6/10
Given
- The lowest form is 3/5
- Sum of numerator and denomiator is 16
To Find
The rational number
Solution
Since the lowest form of the rational number is 3/5, the numerator and the denominator are a multiple of 3 and 5 respectively with a common co-factor.
Let that common co-factor be n.
Therefore the rational expression can be written as 3n/5n
According to the problem,
3n + 5n = 16
or, 8n = 16
or, n = 2
Therefore numerator = 3 Xn = 3 X 2 = 6
Denominator = 5 X n = 5 X 2 = 10
Therefore, the rational expression is 6/10
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