Math Doubts

Multiplication of Rational numbers

A mathematical operation of multiplying two or more rational numbers is called the multiplication of rational numbers.

Introduction

The two or more rational numbers are expressed in some cases by displaying a multiplication sign between every two rational numbers. It is impossible to multiply a rational number by another rational number directly but there is a procedure to find the multiplication of two or more rational numbers.

Steps

The multiplication of the rational numbers can be calculated in two simple steps.

  1. Multiply the numerators and write the product of them as the numerator.
  2. Multiply the denominators and write the product of them as the denominator.

Example

Simplify $\dfrac{3}{7} \times \dfrac{2}{5}$

Step – 1

$3$ and $2$ are numerators. Express the multiplication of the numerators by displaying a multiplication sign between them. Now, write it in numerator.

$= \,\,\,$ $\dfrac{3 \times 2}{\,}$

Step – 2

$7$ and $5$ are the denominators. So, express the multiplication of both denominators by displaying a multiplication sign between them but write it as denominator.

$= \,\,\,$ $\dfrac{3 \times 2}{7 \times 5}$

Step – 3

Now, find the product of the expression in the numerator and also the product of the expression in the denominator for evaluating the multiplication of the rational numbers.

$= \,\,\,$ $\dfrac{6}{35}$

$\therefore \,\,\,$ $\dfrac{3}{7} \times \dfrac{2}{5}$ $\,=\,$ $\dfrac{6}{35}$

Thus, the rational numbers are multiplied in the mathematics.

Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the math problems in different methods with understandable steps and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved