Question

How to solve for the given expression and get the final simplified solution, the given expression is, $$5÷{\displaystyle \frac{2}{5}}$$?

Answer 1

Hint: The given question need to find the simplified solution for a given expression in which a number is divided by the fraction, here to get the solution for this question we need to solve for the solution by simplifying the expression by dividing the number by the fraction given.

Complete step by step solution:
 Here the given question is to solve the expression $$5÷{\displaystyle \frac{2}{5}}$$
First we have to use the divide rule to solve this question, in which we have to put both the numbers in numerator and denominator of a fraction, we know that the when there is any fraction term in the denominator then the denominator of fraction will multiply in the numerator in the fraction, now on solving we get:
$$\Rightarrow {\displaystyle \frac{5}{{\displaystyle \frac{2}{5}}}}={\displaystyle \frac{5\times 5}{2}}={\displaystyle \frac{25}{2}}=12.5$$

Hence the required answer for the given expression in simplified form is “12.5”.

Additional Information: Here we have simplified the final fraction into decimal form, but here we can also leave the final solution in the fraction form also, but here for the final solution we have simplified it to the decimal form.

Note: The given question needs to be solved by the given steps what we have used above, the final answer can be cross checked by simplifying the final fraction, back to the question. Here we have used the normal simplification for the division of two numbers either the number given in fraction or complete number.