Question

How do you find $\dfrac{1}{4}$divided by$\dfrac{7}{8}$?

Answer 1

Hint:In order to determine the answer by performing the division in the above question ,write the numerator and denominator in the form as given in the question. Thereafter , just flip the second fraction and multiply the numerators and denominators respectively . And try to cancel out the factors for the sake of simplification . Applying these steps for solving the question , you’ll get your required result.

Complete step by step solution:
Given the fraction numbers to divide are $\dfrac{1}{4}$ and $\dfrac{7}{8}$
To Divide this and get the answer into its simplest form , take the first fraction as it is and flip or reciprocal the second fraction that is numerator will become denominator and denominator will become a numerator.
Rewriting the fraction into their form as
$ = \dfrac{1}{4} \div \dfrac{7}{8}$
$ = \dfrac{1}{4} \times \dfrac{8}{7}$
Cancelling out 4 and 8 .
\[
= \dfrac{2}{7} \\
\]
Therefore , the division of two fractions in simplest form is $ = \dfrac{2}{7}$.

Additional Information:
What is a Rational Number?
A Rational number is a number which can be expressed in the form of $\dfrac{p}{q}$,where p and q are any integer value and q is not equal to 0.Such a number is known as rational number. Also if we divide two rational numbers suppose $\dfrac{A}{B}and\dfrac{C}{D}$ it is actually divided in the form $\dfrac{{\dfrac{A}{B}}}{{\dfrac{C}{D}}}$ then A is multiplied with D and B is multiplied by C in the form as $\dfrac{{A \times D}}{{B \times C}}$.

Note:
1. If you want to Increase a Number by y %:
Example:
On the off chance that a number is expanded by\[10{\text{ }}\% \], at that point it becomes 1.1 times of itself.
On the off chance that a number is expanded by 30 %, at that point it becomes 1.3 times of itself.
2. If you want to Decrease a Number by y %:
Example:
On the off chance that a number is diminished by 10 %, at that point it becomes 0.90 times of itself. On the off chance that a number is diminished by 30 %, at that point it becomes 0.70 times of itself.
3. Value of the constant ”e” exponent is equal to 2.71828.
4. Don’t forget to cross check your result.