Suppose X1 = N1/D1 and X2 = N2/D2 are two rational expressions, where the numerators N1 and N2 and denominators D1 and D2 are simpler expressions.
Then
X1 * X2 = (N1*N2)/(D1*D2)
and
X1 / X2 = (N1*D2)/(D1*N2).
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Division by a non-zero rational number is equivalent to multiplication by its reciprocal.
true
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
The inverse function of multiplication is division.
in division