Question

Find the product of: $\dfrac{9}{2} \times \dfrac{{\left( { - 7} \right)}}{4}$

Answer 1

Hint: In this given question we are supposed to find the multiplication of fraction.
A Fraction is a part of a whole or more, any number of equal parts can be taken from the whole.
Using some rules of fraction multiplication we will solve the given problem.

Complete step-by-step solution:
Let's learn the multiplication of fraction first and then we will solve the given problem.
A fraction describes some part of a value, like 1/2 one part in two. A fraction has two parts, the upper part is called numerator and the lower part is called denominator. In order to do the multiplication of the fraction we must multiply the numerator with the numerator of the two or more fractions and denominator with denominator of the fractions. If the two numbers in the denominator or numerator are the multiples of each other then they can be canceled to reduce the fraction in reducible form.
The same procedure we will apply to the given problem.
$ \Rightarrow \dfrac{9}{2} \times \dfrac{{\left( { - 7} \right)}}{4}$
We will multiply the numerator and denominator as there is no number which is a multiple of another number in cross multiplication.
$ \Rightarrow \dfrac{{ - 63}}{8}$
We got the fraction, which is the simplified form of the fraction.

$\dfrac{{ - 63}}{8}$ is the required answer.

Note: If we have to find the sum of the given fraction then we have to perform the LCM of the denominator of the given fraction and then, we have to divide the number at denominator with the LCM and then that number is multiplied with the number present at the numerator.