Question

What is $\dfrac{4}{5}$ divided by $\dfrac{1}{5}$ ?

Answer 1

Hint: For solving this question you should know about the division of fractions. It is a very simple step to get the quick and accurate answer of the fractional divisions. That you have to make reciprocal of the fraction by which we want to divide, then we have to multiply both the fractions one is original one and the second is the reciprocal fraction and then we have to simplify it and we get answers for these types of questions.

Complete step-by-step solution:
In our question it is asked to divide $\dfrac{4}{5}$ by $\dfrac{1}{5}$ and determine the value for it. So, for dividing the fractional numbers we have to follow just three simple steps: reciprocal, multiply and simplify.
In the first step of solving this question which is reciprocal, in this we take the reciprocal of the fraction which we want to divide our main fraction. It means we will take reciprocal of the divider. The reciprocal is a step in which we change the numerator in denominator and denominator as numerator or we can directly take the reciprocal of any fraction by doing that as $\dfrac{1}{\text{fraction}}$.
In the second step of solving this is the multiplying step. In this step we multiply to the new fraction which we got by the reciprocal and with the first amin fraction or dividend.
In the third step of solving this question is a simplifying step. In this last step we simplify the multiplication and do all calculations which are remaining during the solving of the question.
According to our question we have to divide $\dfrac{4}{5}$ by $\dfrac{1}{5}$. So, firstly we take the reciprocal of $\dfrac{1}{5}$, the reciprocal of $\dfrac{1}{5}$ is equal to $\dfrac{1}{\dfrac{1}{5}}=5$.
Now we will multiply it by $\dfrac{4}{5}$, so here the multiplication is done with 5, so we get,
$\dfrac{4}{5}\times \dfrac{5}{1}=4$
So, the division of $\dfrac{4}{5}$ by $\dfrac{1}{5}$ is equal to 4.

Note: During solving of this question, we should be careful when we reciprocate. Because this is the most important step for this question. If we take the minus value, then the answer will also be negative and if we take positive values then the answer will be positive. And simplify the question till the last step of solving.