Question

What is ${\displaystyle \frac{3}{4}}$ divided by ${\displaystyle \frac{2}{3}}$?

Answer 1

Hint: In order to do this question, you just need to divide both of them. Since both of them are fractions, you need to take the reciprocal of the number which you are dividing with and then multiply it with the dividend. In the question, you need to take the reciprocal of ${\displaystyle \frac{2}{3}}$ and then multiply it with the value of ${\displaystyle \frac{3}{4}}$ to get the final answer.

Complete step by step solution:
Here is the step wise solution.
First step to do in order to solve this question is to find the reciprocal of the number ${\displaystyle \frac{2}{3}}$. Taking the reciprocal and multiplying is easier than directly dividing as it is much more clearer.
The reciprocal of the number ${\displaystyle \frac{2}{3}}$ is ${\displaystyle \frac{3}{2}}$.
The next step we need to do is to multiply the reciprocal with the dividend. In the given question, the dividend is ${\displaystyle \frac{3}{4}}$. Therefore, we get the answer as
$\Rightarrow answer={\displaystyle \frac{3}{4}}\times {\displaystyle \frac{3}{2}}$
$\Rightarrow answer={\displaystyle \frac{9}{8}}$

Therefore, we get the final answer of the question, what is ${\displaystyle \frac{3}{4}}$. divided by ${\displaystyle \frac{2}{3}}$.as ${\displaystyle \frac{9}{8}}$.

Note: You need to be careful while doing the divisions and the multiplication. Whenever you have a divisor as a fraction, it would be easier if you take the reciprocal of it, and then multiply it with the dividend. You could also verify the answer, by multiplying the answer with the divisor given in the question. If it matches the dividend, then you got the correct answer, otherwise, you have to recheck your steps and see where you went wrong.