Question

How do you simplify$\dfrac{5}{6} - \dfrac{2}{6}$?

Answer 1

Hint:In order to determine the simplest form of the above question ,write the numerator and denominator in the form of their factors and try to cancel out factors from numerator and denominator ,you’ll get your required result.

Complete step by step solution:
Given a expression $\dfrac{5}{6} - \dfrac{2}{6}$
Since the denominator of both are the terms are same so we can directly do the subtraction
$
= \dfrac{{5 - 2}}{6} \\
= \dfrac{3}{6} \\
$
To Convert this into its simplest form, factorise the numerator as well as denominator.
Since numerator is prime number so there is no factor, but denominator can be written as $3 \times
2$
Rewriting the fraction into their factors form as
\[ = \dfrac{{3 \times 1}}{{3 \times 2}}\]
Cancelling out $3$ as it is coming in numerator and denominator.
$
= \dfrac{1}{2} \\
$
Therefore, $\dfrac{5}{6} - \dfrac{2}{6}$ in simplest form is $\dfrac{1}{2}$.

Additional Information:
What is a Rational Number?
A Rational number is a number which can be expressed in the form of $\dfrac{p}{q}$,where p and q
are any integer value and q is not equal to 0. Such a number is known as a rational number.

Note:
1. If you want to Increase a Number by y %:
Example:On the off chance that a number is expanded by\[10{\text{ }}\% \], at that point it becomes 1.1 times of itself.
On the off chance that a number is expanded by 30 %, at that point it becomes 1.3 times of itself.
2. If you want to Decrease a Number by y %:
Example:
On the off chance that a number is diminished by 10 %, at that point it becomes 0.90 times of itself.
On the off chance that a number is diminished by 30 %, at that point it becomes 0.70 times of itself.
3. Don’t forget to cross check your result.