Question

the reciprocal of a positive rational number is ______​

Answer 1

The reciprocal of a positive rational number is a positive rational number.

The inverse of a value or a number is described as a reciprocal. The reciprocal of a real number is 1/n.

Example:

To find the reciprocal of 5 / 4

The reciprocal of 5/4 is 4/4.

Using the formula, x = 1/x, where 5/4=1/5/1/4

Thus, the reciprocal of a fraction 5/4 is 4/5.

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Answer 2

Answer:

The reciprocal of a positive rational number is positive.

Step-by-step explanation:

• Rational numbers are written in p/q form, where q is not equal to zero; that is, the denominator, q, should not be zero.
• The reciprocal is also known as the "Multiplicative Inverse."  A reciprocal, or multiplicative inverse, is simply, the inverse of a value or a number and when multiplied together, equals one.
• For instance, let $\frac{p}{q}$ a positive rational numbers where$q \neq 0$.
• Then, the reciprocal of $\frac{p}{q}$ is $\frac{q}{p}$.
• Hence, the sign of a number is unaffected by its reciprocal.
• Therefore, a positive rational number's reciprocal is also positive.

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