Multiplication of rational numbers.
One day, five friends met and they decided to eat something.
They thought of ordering a pizza that costs rupees
$300$
.
Now to pay the bill, they all decided to contribute an equal amount.
To find the amount that each person needs to pay, we need to divide
$300$
by
$5$
.
What we are doing here is, we are multiplying 300 with ⅕ which is nothing but the share of each person.
This method can be referred to as multiplication of 2 rational numbers.
Let’s learn how to multiply two rational numbers.
Suppose we have two rational numbers as shown above.
To multiply these rational numbers, first we multiply the numerators.
Then, we multiply the denominators.
Next, write the result of the numerator and the denominator as a fraction and that will be the answer.
Let’s take another problem for better understanding.
Suppose, we have to multiply two rational numbers
$3/5$
and
$6/7$
.
We multiply both the numerators,
$3$
and
$6$
and both the denominators,
$5$
and
$7$
as such.
So, the general form for multiplying two rational numbers
$ba $
and
$dc $
is shown above.
Revision
While multiplying a rational number with a positive integer, we multiply the numerator with that integer, keeping the denominator unchanged.
The general form for multiplying a rational number with a positive integer is shown above.
And the general form for multiplying two rational numbers is shown above.
The End