Property 2 if ` p/q ` is a rational number and m is a common divisor of` ` p and q `then `p/q=(p-:m)/(q-:m)`

State whether the statements give are True or False. If (p)/(q) is a rational number and m is a non-zero common divisor of p and q, then (p)/(q) = (p div m)/( q div m)

Property 1 if (p)/(q) is a rational number and m is a non -zero integer then (p)/(q)=p xx(m)/(q)xx m

State whether the statements given are True or False. If (p)/(q) is a rational number and m is a non-zero integer, then (p)/(q) = (p xx m)/( q xx m)

A rational number p/q is negative if both p and q are negative.

State whether the statements given are True or False. If (p)/(q) is a rational number and m is a non-zero integer, then (p xx m)/( q xx m) is a rational number not equivalent to (p)/(q) .

If (p)/(q) is a rational number, then q cannot be ______.

A Rational number (p)/(q) is said to be in the standard form if q is positive and the integers p and q have no common divisor other then 1

If p and q are positive integers, then (p)/(q) is a ______ rational number and (p) (-q) is a ______ rational number.

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . then,