Question

How do you simplify the fraction $\dfrac{{35}}{{50}}$?

Answer 1

Hint: Here in order to simplify we mean that we need to cancel the numerator and denominator with their common factor unless they are not able to be cancelled further. Hence we need to apply the same method in order to solve this problem.

Complete step-by-step answer:
Here we are given to simplify the given fraction which is given as $\dfrac{{35}}{{50}}$
So we need to convert it into the simplest form which means that we need to cancel the numerator and denominator with their common factor unless they are not able to be cancelled further.
So we need to see if the numerator which is $35$ and the denominator that is $50$ have the common factor which means we need to cancel them by the number that can divide both the numerator and denominator completely.
So we know that $35{\text{ and 50}}$ have the common factor that is $5$ as both are divisible by this number $5$ and we can cancel them with this number.
So we need to find the divisor of both the cases:
When we divide $35{\text{ by 5}}$ we get the divisor as $7$
When we divide $50{\text{ by 5}}$ we get the divisor as $10$
Hence we can say that we can replace $35{\text{ by 7}}$ and $50{\text{ by 10}}$ in the above fraction in order to simplify this fraction which is given.
Hence we get:
$\dfrac{{35}}{{50}} = \dfrac{7}{{10}}$
Now we can see that $7{\text{ and 10}}$ do not have any common factor so we will end this fraction here and say that it is the simplest form of the fraction which is given that is $\dfrac{{35}}{{50}}$.

Note: Here the student must keep in mind that we do not have to divide this number and get the decimal answer as $0.7$ but we have to just simplify and keep it as the form of fraction which means that numerator and denominator must be there.