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

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.

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

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

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.

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