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How do we find the product of two rational numbers?
Solution:
Rational numbers are those numbers that are of the form p/q where p and q are integers and q is non-zero.
Multiplication of Rational Numbers
The multiplication of rational numbers is the same as the multiplication of the integers. The product of any two rational numbers is equal to the product of the numerator divided by the product of the denominator. Thus, the formula to multiply the rational numbers is given by
Product of Rational Numbers = $\frac{product \ of \ Numerator}{ Product \ of \ Denominator}$
Assume that the rational numbers are 5/7 and 3/4, the product of the given rational numbers is:
$\frac{5}{7} \times \frac{3}{4} = \frac{5\times3}{7\times4}=\frac{15}{28}$
So, multiplying two rational is the same as multiplying two such fractions, which will result in another fraction of this same form Since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.
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