Question

What’s $4$ divided by $\dfrac{2}{5}$?

Answer 1

Hint: In this problem, we want to find the value for the given term. Basic division operation is enough to solve the problem. But one term is a fraction. So I must have understood how to divide the fraction. In the fraction, division becomes multiple and the term becomes reciprocal of the term.

Complete step-by-step solution:
In the given problem we want to find the value of the given term.
We have to use division operations to solve the problem.
The question that is given is four divided by the fraction two by five.
We can write this as mathematical terms as,
$4 \div \dfrac{2}{5}$
At the next step, we can write this as the following.
$4 \div \dfrac{2}{5} = \dfrac{4}{{\dfrac{2}{5}}}$
Now we can simplify the term.
We can rewrite this as,
$ = \dfrac{{\dfrac{4}{1}}}{{\dfrac{2}{5}}}$
In the above term, there is a fraction in the denominator. When the denominator comes to the numerator, the division becomes the multiplication and the term becomes reciprocal.
Now we change the numerator to the denominator.
So the divide goes to change as multiplication.
And the denominator term becomes reciprocal.
Now, we get$ = \dfrac{{\dfrac{4}{1}}}{{\dfrac{2}{5}}} = \dfrac{4}{1} \times \dfrac{5}{2}$
Now we can simplify the terms easily.
Now apply multiplication operation, we get
$\dfrac{4}{1} \times \dfrac{5}{2} = \dfrac{{4 \times 5}}{{1 \times 2}}$
On multiplying we get,
 $\dfrac{{4 \times 5}}{{1 \times 2}} = \dfrac{{20}}{2}$
Now simplifying this we get the answer is ten.
Therefore the answer is $\dfrac{{20}}{2} = 10$
Hence the solution for the question is ten.

Note: A fraction is the part of the whole thing. The numerator is the part of the whole thing. The denominator is the whole thing. Diving a fraction by another fraction is equal to the multiplication of the reciprocal of the other fraction.