Question

How do you write in simplest form given \[\dfrac{5}{8} + \dfrac{7}{8}\] ?

Answer 1

Hint: In this question, we need to find the simplest form of the fraction \[\dfrac{5}{8} + \dfrac{7}{8}\]. To write the fraction in the simplest form, first step is to check that if the denominator are equal or not if the denominator are equal, then directly add the numerator and if the denominator are not equal then equalize the denominator by taking the LCM and the multiplying the denominator and numerator with the number such that the result is the LCM.

Complete Step By Step solution:
In this question we have given the fraction as,
\[ \Rightarrow \dfrac{5}{8} + \dfrac{7}{8}\]
As we can see in the above fraction the denominator is the same so there is no need to take LCM and equalize the denominator.
Also the LCM of the number \[8\] and \[8\] is \[8\].
Now, we will add the fractions as,
\[ \Rightarrow \dfrac{{5 + 7}}{8} = \dfrac{{12}}{8}\]
As we can see \[\dfrac{{12}}{8}\] can be reduced by dividing the numerator and denominator both by 4 as,
\[ \Rightarrow \dfrac{{12}}{8} = \dfrac{{\dfrac{{12}}{4}}}{{\dfrac{8}{4}}}\]
Now, as we know the value of \[\dfrac{{12}}{4}\] is reduced to \[3\] and the value of \[\dfrac{8}{4}\] is reduced to \[2\] then the fraction is,
\[\therefore \dfrac{{12}}{8} = \dfrac{4}{3}\]
The above fraction cannot be reduced further as it is in its simplest form.

Therefore, the simplest form of the given fractions is \[\dfrac{5}{8} + \dfrac{7}{8} = \dfrac{3}{2}\].

Note:
As we know that the fraction is used to determine the part of a number or the quantity. The fraction has the numerator and a denominator, the numerator shows the required part and the denominator shows the total part or the whole. The fraction makes the calculation easy and helps in easy representation of larger quantities.