Question

What is $\dfrac{5}{6}\times \dfrac{1}{2}$ ?

Answer 1

Hint: To obtain the product of two fractions we multiply the denominator and numerator separately and simplify the term obtained by dividing the numerator and denominator by the same number.

Complete step by step solution:
We have to find the product of the two fractions given as,
$\dfrac{5}{6}\times \dfrac{1}{2}$
So, we will multiply the denominator and numerator separately as,
$\begin{align}
 & \Rightarrow \dfrac{5}{6}\times \dfrac{1}{2} \\
 & \Rightarrow \dfrac{5\times 1}{6\times 2} \\
 & \Rightarrow \dfrac{5}{12} \\
\end{align}$
Now, we will check if we can simplify the fraction more.
As we can see that the terms in numerator and denominator are co-prime i.e. there is no common factor between them except 1 so the fraction can’t be simplified further.
Hence, the product of $\dfrac{5}{6}\times \dfrac{1}{2}$ is $\dfrac{5}{12}$

Note: The term fraction is used to represent a part of a whole or we can say that any number of equal parts is what we call fraction. If a fraction is positive in nature that means both its numerator and denominator are natural numbers. If we have a negative fraction that means one of the values is negative. The denominator can never be 0 as 0 part can never make up a whole. For example- $\dfrac{1}{2}$ represents that by numerator we can say that the fraction has 1 equal part and by denominator we can say that 2 parts make up a whole. Common example of fraction is ratio which tells the relationship between two or more numbers expressed as a fraction. A co-prime number is those who don’t have any common factor except 1 for example- 20 and 33 are co-prime as there is no number that divides both of them completely.