Question

How do you divide retinal numbers in fraction form?

Answer 1

Hint: Here we have to learn how to divide a rational number in the fraction form.
For that first we have to express or write the given rational number’s division in the fraction form.
Then, multiply the reciprocal of the denominator of the rational number with the numerator also, Keep the numerator as it.
After that multiply all the numbers and find the answer of that product.
It will give you the final answer of the division that is the quotient of the division.

Complete Step by Step solution:
Given that, we have to find how we will divide the rational number in fraction form.
First the rational number means that number which can be written in the form of \[\dfrac{p}{q}\], as \[q\ne 0\] and \[p\,\,\And \,q\] are integers.
By dividing any two numbers we can made a rational number
So, for dividing the rational number we have to follow some steps which is as follows:-
Step:1- First write the given division of rational numbers in the form of fraction.
Step:2- The numerator of the rational number should be kept as it is but take the reciprocal of the denominator and multiply it to the whole number.
Step:3- Multiply all the terms in rational number and the final answer we get will be the quotient of the division of the given rational number.
Suppose we have to calculate the division of two rational numbers is \[\dfrac{3}{5}\,\,\div \,\,\dfrac{2}{7}\]. Now let’s solve it step by step.
Step-1:- To write the given rational number in the fraction form. i.e
     \[=\dfrac{\dfrac{3}{5}}{\dfrac{2}{7}}\]
Step-2:- To take the reciprocal of denominator and the whole term and multiply it with numerator as. \[=\dfrac{\dfrac{3}{5}\times 1}{\dfrac{2}{7}}\]
     \[=\dfrac{3}{5}\,\times \dfrac{1}{\dfrac{2}{7}}\]
     \[=\dfrac{3}{5}\times \dfrac{7}{2}\]
Step-3:- To multiply every term get the final answer as a quotient.
     \[=\dfrac{3\times 7}{5\times 2}\]
     \[=\dfrac{21}{10}=2.1\]

Therefore the \[\theta \]quotient division of rational number \[\dfrac{3}{5}\,\div \,\dfrac{2}{7}\] is \[\dfrac{21}{10}\] or \[2.1\].
In this way, we can solve the division of rational numbers in the form of fraction.

Note:
In this numerical, we learnt how to divide rational numbers in fraction.
It is the same as the simple division of two numbers.
Only the difference is that we have to reciprocal the denominator and have to multiply it with the numerator.
Always remember that the after product of all the rational numbers, the answer we get at the last is quotient of the division of given rational numbers.
Also, the division of negative and positive rational numbers will be always negative while the division of equal or same sign of rational number’s answer will be always positive.