If there are two statements-
p: every fraction is a rational number.
q: every rational number is a fraction.
Then which of the following is correct?

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P is true and q is false

P is false and q is true

Both p and q are true

Both p and q are false

answer is A.

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Detailed Solution

Concept- We should understand the fundamentals of fractions and a rational number in order to answer this problem. We will attempt to comprehend the distinction between a rational number and a fraction in order to choose the appropriate response. This will assist in obtaining the needed response.
We shall attempt to briefly comprehend the concepts "fraction" and "rational numbers" before responding to the question (which will help us to solve the problem) . Equal portions of a whole or collection are represented by fractions. As a result, fraction examples include

\frac{5}{4}

\frac{2}{3}

, 1,

\frac{4}{5}

, and

\frac{3}{8}

. Here, the numerator is represented by the top number and the denominator by the bottom number. The denominator of these two numbers shouldn't be zero and should instead be one of the whole numbers (0, 1, 2, etc.) .
A rational number is one that can be written as ab, where a and b can both be integers as long as b is not zero.

\frac{- 4}{5}

\frac{5}{6}

, and

\frac{8}{5}

, for instance.
The only distinction thus arises from the fact that both the numerator and denominator may be integers and thus may also have negative values.As a result, fractions can be thought of as a subset of rational numbers.
The inverse is not true, hence all fractions are rational values.
As a result, (1) p is true and (q) is false is the right answer.
Hence, the correct option is