Question

How do you evaluate ${\displaystyle \frac{5}{6}}-{\displaystyle \frac{2}{3}}$ ?

Answer 1

Hint:
In the above question, we have to simplify to find the answer. After simplification, we will subtract the numerator and finally, we will get a fractional answer. We can convert a fraction into decimal as well but it is not required here. So let’s see how we can solve this problem.

Complete step by step solution:
The given question is to evaluate ${\displaystyle \frac{5}{6}}-{\displaystyle \frac{2}{3}}$ . For this, we will simplify the denominator first. After taking the least common multiple from 6 and 3 we will get 6.
 $\Rightarrow {\displaystyle \frac{5}{6}}-{\displaystyle \frac{2}{3}}={\displaystyle \frac{5-4}{6}}$
After subtracting the numerator, we get,
 $={\displaystyle \frac{1}{6}}$

Therefore, we get ${\displaystyle \frac{1}{6}}$ after evaluating ${\displaystyle \frac{5}{6}}-{\displaystyle \frac{2}{3}}$.

Additional Information:
In the above solution, we get an improper fraction. There are other forms of fractions as well like proper fraction, like fraction, unlike fraction, mixed fraction, and equivalent fraction. We will study all the forms of the fraction.

Note:
In the above question, we take the LCM of 6 and 3. LCM is the lowest common multiple. 6 = 2 x 3 and 3 = 3 x 1, so the lowest common factor is 3 x 2 x 1 that is 6. After taking the LCM of the denominator as 6 we subtracted the denominator. And finally, we get an improper fraction as the answer.