Product of Rational Numbers

A Rational Number is a Number in which both the numerator and denominator are Integers where the denominator isn’t zero. Multiplying Two Rational Numbers is the Same as Multiplying Fractions. Product of Rational Numbers results in a Rational Number where integers are closed under Multiplication.

How to find the Product of Rational Numbers?

In Product of Rational Numbers let us learn about Multiplication of Rational Numbers. Multiplying Two Rational Numbers will produce a Rational Number.

Let us consider Two Rational Numbers a/b, c/d we get (a/b*c/d) = (a*c)/(b*d)

Product of Rational Numbers = Product of their Numerators/Product of their Denominators

Solved Examples on Rational Numbers Product

1. Multiply 25/-8 and 3/-4?

Solution:

Given Rational Numbers are 25/-8 and 3/-4

= 25/-8*3/-4

=25*3/-8*-4

= 75/32

2. Find the Product of 3/5 and -4/7?

Solution:

= 3/5*(-4/7)

= 3*(-4)/5*7

= -12/35

3. Simplify 6/11 * 5/8?

Solution:

Given Rational Numbers are 6/11 and 5/8

= 6/11*5/8

= 30/88

4. Simplify 25/14 * -11/2?

Solution:

= (25/14)*(-11/2)

= 25/14*-11/2

= 25*(-11)/14*2

= -275/28

5. Find each of the following products?

(i) 12/3*(-5/7) (ii) 4/6*(-7/8)

Solution:

= 12/3*(-5/7)

= 12*(-5)//3*7

= -60/21

(ii)4/6*(-7/8)

= 4*(-7)/6*8

= -28/48

= -7/12