Question

What is the sum of $ \dfrac{2}{5} $ and $ \dfrac{2}{4}? $

Answer 1

Hint: As we can see that we have to add the fractions given in the question. We can check if the fractions are proper, improper or mixed fractions. It can make the addition easier. We will use the LCM method for fractions to add them by calculating the LCM of denominators and then change the numerators accordingly and then finally add them.

Complete step by step solution:
From the above question we have the fractions
$ \dfrac{2}{5} $ and $ \dfrac{2}{4} $ .
We can see that the second fraction i.e.
$ \dfrac{2}{4} $ can further be simplified and written in lower form. So it can be written as
$ \dfrac{2}{4} = \dfrac{1}{2} $ .
Now the fractions are $ \dfrac{2}{5} + \dfrac{1}{2} $ . We will take the LCM of denominators. LCM of $ 5 $ and $ 2 $ is $ 10 $ .
So we have
$ \dfrac{2}{5} + \dfrac{1}{2} = \dfrac{{4 + 5}}{{10}} $ . It gives us the value $ \dfrac{9}{{10}} $ .
Hence the required sum of $ \dfrac{2}{5} $ and $ \dfrac{2}{4} $ is $ \dfrac{9}{{10}} $ .
So, the correct answer is “ $ \dfrac{9}{{10}} $ ”.

Note: We should note that there are various ways we can add the fractions. We can also first convert them into decimals and then add them. Like this $ \dfrac{2}{5} $ can be written as $ 0.4 $ and the decimal form of $ \dfrac{2}{4} = 0.5 $ , Now we add both of them i.e. $ 0.4 + 0.5 = 0.9 $ , It gives the same answer $ \dfrac{9}{{10}} $ .