Question

How do you write $\dfrac{{10}}{{12}}$ in simplest form?

Answer 1

Hint:All the values which are in the form of $\dfrac{p}{q}$ are called fraction or rational numbers where $q \ne 0$. Fractions are divided into part one part is the numerator $\left( p \right)$ and other part is denominator $\left( q \right)$. To find the fractions in simplest terms it is necessary to divide out any common factors. Both the numerator and denominator contain even values, so you can divide them each by the common factor of 2.

Complete step by step Solution:
Given that: -
We have written $\dfrac{{10}}{{12}}$ in simplest form
So, for writing $\dfrac{{10}}{{12}}$ in simplest form we have to multiply and divide it by $2$then
Now we will get the perfect form for it which can be written as
$ = \dfrac{{10}}{{12}} \times \dfrac{2}{2}$
After solving the above equation, we will get
$ = \dfrac{5}{6}$

Therefore, the simplest form of our given fraction is the $\dfrac{5}{6}$ which is the required answer to our question.

Note: When we divide any number if the dividend is less than the divisor then we add zeros in the last of the dividend so we can divide easily and put a point before the quotient. For writing any fraction into the simplest form we have to write it in the form of a non-divisible number that is not divisible possible in the numerator and denominator; this is called the simplest form of our fraction.