Question

How do you multiply \[\dfrac{1}{2} \times \dfrac{1}{3}\]?

Answer 1

Hint:
The question is to multiply two numbers which are in fraction, which means we have to multiply the fraction. The rule for this type of multiplication is that first of all, both the fractions should be in the simplest form and after that simply multiply the numbers in numerator and multiply the numbers in denominator and hence, we will get our required fraction.

Complete step by step solution:
The question is to multiply the given two fractions.
Multiplication of two fractions or more than two fractions is also a fraction. The rule for multiplication of two fractions is that firstly, they should be in simplest form. If not, then do so by making factors and cutting them. Then, we first simply multiply the numbers in numerators and in denominators, then we get the required fraction.
Since the question is to multiply \[\dfrac{1}{2}\] and \[\dfrac{1}{3}\] which means \[\dfrac{1}{2} \times \dfrac{1}{3}\]
As \[\dfrac{1}{2}\] and \[\dfrac{1}{3}\] are in simplest form, therefore, they get multiplied.
\[\dfrac{{1 \times 1}}{{2 \times 3}}\] which becomes \[\dfrac{1}{6}\]

Therefore, \[\dfrac{1}{2} \times \dfrac{1}{3}\] gives \[\dfrac{1}{6}\]

Note:
The question was to multiply the given two fractions. We firstly had checked that either they are in simplest form or not and then we multiply the terms in numerator with each other and multiply the terms in denominator with each other and hence, we get required fraction after multiplication of two fractions.