Question

How do you simplify the fraction $\dfrac{2}{24}$.

Answer 1

Hint: In the given fraction first consider the numbers numerators and denominators. Find the LCM of the numerator as well as LCM of the denominator. Divide numerator and denominator by the LCM. The obtained fraction is in the lowest form.

Complete step-by-step answer:
Now let us first understand what is Fractions.
Fractions are numbers which represent equal parts of the whole collection.
For example if 1 Pizza is cut into 6 equal pieces then each piece is $\dfrac{1}{6}$ of the whole pizza.
Similarly in a class there are 100 students and 50 students are girls then we write it as $\dfrac{50}{100}$ part of the class is girls.
Now the number above the bar line is called numerator and the number below the line is called the denominator.
For example in the fraction $\dfrac{3}{5}$ 3 is the numerator and 5 is the denominator.
Now simplified fraction is nothing but fractions in which LCM between Numerator and denominator is 1.
Every fraction can be reduced to simple fractions. To do so first find the LCM of the numerator and denominator. If the LCM is 1 then the fraction is already in simplest form. If the LCM is not 1 then divide the numerator and denominator by LCM and hence we obtain a new fraction which is a simple fraction.
Now consider the given fraction $\dfrac{2}{24}$ .
Now here the numerator is 2 and the denominator is 24.
LCM of 2 and 24 is 2.
Hence the simplified fraction is $\dfrac{2\div 2}{24\div 2}=\dfrac{1}{12}$ .
Hence the simplified fraction of $\dfrac{2}{24}$ is $\dfrac{1}{12}$ .

Note: Now we can also simplify the fractions by writing all the factors of the numerator as well as the denominator and cancelling out the common factors. For example $\dfrac{2}{24}=\dfrac{2\times 1}{2\times 3\times 4}=\dfrac{1}{3\times 4}=\dfrac{1}{12}$ .