Question

If a rational number is equal to 3/5, and the
sum of its numerator and denominator is 16,
what is the rational number?​

Answer 1

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

Answer 2

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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