Question

How to write \[\dfrac{{17}}{8}\] as a mixed number?

Answer 1

Hint:
In this question we are given a fractional number that is \[\dfrac{{17}}{8}\] and we are asked to write it as a mixed number. Now for approaching such kind of question one should know about the fractional number and the mixed number first that is a fractional numbers are the numbers of the form \[\dfrac{p}{q}\] where \[p\] and \[q\] both are real numbers can be negative and positive where \[p\] and \[q\] cannot be zero and a mixed numbers or mixed fraction are the type of the fractional numbers which consist of a whole part and a fractional part of the number that is of the form \[t \dfrac{p}{q}\] where \[t\] is the whole number part and the \[\dfrac{p}{q}\] is the fractional part now let us see how to write the given fraction that is \[\dfrac{{17}}{8}\] as a mixed number in the complete step by step solution.

Complete Step by step Solution:
So in this question we are given with a fractional number (the numbers of the form \[\dfrac{p}{q}\]where \[p\]and \[q\]both are real numbers can be negative and positive where \[p\]and \[q\]cannot be zero and the\[p\] is numerator and\[q\] is the denominator) that is \[\dfrac{{17}}{8}\]and we are asked how to convert it into mixed number ( are the type of the fractional numbers which consist of a whole part and a fractional part of the number that is of the form \[t\dfrac{p}{q}\]where \[t\]is the whole number part and the \[\dfrac{p}{q}\]is the fractional part) which can be done by dividing the numerator by the denominator of the fraction that is we would divide the numerator that is \[17\] by the denominator that is \[8\]and find the quotient remainder and divisor in the form \[quotient= \dfrac{{remainder}}{{divisor}}\]
So in this case the mixed fraction comes out to be –
\[2\dfrac{1}{8}\]

So the mixed number form of the given fraction \[\dfrac{{17}}{8}\] is \[2\dfrac{1}{8}\]

Note:
While solving such kind of questions one should do the calculations with the utter concentration as to prevent any mistake that could get the whole question getting wrong. Also while approaching such questions one should have a knowledge of the types of fractions that is equivalent fraction, proper fraction (in which the numerator is inferior to the denominator), improper fraction (in this the numerator is greater than denominator), mixed fraction (the type of the fractional numbers which consist of a whole part and a fractional part of the number that is of the form \[t\dfrac{p}{q}\]where \[t\]is the whole number part and the \[\dfrac{p}{q}\]is the fractional part ).