Question

How to write this fraction in the simplest form \[\dfrac{14}{26}\] ?

Answer 1

Hint:In this question, we need to write the given fraction \[\dfrac{14}{26}\] in the simplest form. First we need to find the factors of the numerator and denominator then we need to write the numerator and denominator in the form of their factors in the fraction form. Then we need to try to cancel out the common factors from numerator and denominator . Thus by following the above steps, we can find the simplest form of the fraction.

Complete step by step solution:
Given, \[\dfrac{14}{26}\]
Here we need to write the given fraction in the simplest form.
Now we need to factorise the numerator as well as the denominator .
The numerator \[14\] can be written as \[7 \times 2\]
Also the denominator \[26\] can be written as \[13 \times 2\]
On rewriting the fraction into their factors form ,
We get,
\[\Rightarrow \dfrac{14}{26} = \dfrac{7 \times 2}{13 \times 2}\]
By cancelling \[2\] as it is common in both the numerator and the denominator,
We get,
\[\Rightarrow \dfrac{7}{13}\]
Thus \[\dfrac{7}{13}\] is the simplest form of the fraction \[\dfrac{14}{26}\] .
The simplest form of the fraction \[\dfrac{14}{26}\] is \[\dfrac{7}{13}\].

Note:
Fraction is nothing but a number which is of the form \[p\] divided by \[q\] where \[q\] is not equal to zero. That is, \[\dfrac{p}{q}\] ,\[(q \neq 0)\] where \[p\] and \[q\] are the whole number. The fraction is said to be in the simplest form, when the numerator and the denominator can no longer be reduced to any smaller number separately. The simplest form is nothing but the smallest possible equivalent fraction of the number. Mathematically, a fraction is not a whole number but a number lies between the two whole numbers.