Question

What is \[17\dfrac{6}{8}\] as an improper fraction?

Answer 1

Hint: For solving this question you should know about the mixed number. The mixed number is a combination of a whole number and a fractional number. We can calculate the mix number by dividing any digit and write that as a fractional and whole number form. And if we want to get the original fractional again then multiply the denominator with the whole number and add the numerator of this fraction. Which will give a new fraction. And this will be the answer.

Complete step by step answer:
According to our question it is asked to find the whole fraction which is given as \[17{}^{6}/{}_{8}\] as a mixed number.
For calculating the whole fraction or mixed number by any fraction we use just simple calculations of multiplication, dividation and addition.
If we want to calculate the whole fraction then we have to multiply our denominator with the whole fraction and then add the numerator in it. And the denominator will be the same.
If we take an example, then eg, \[9\dfrac{4}{5}\], and we have to calculate the whole fraction or whole number in fractional form: -
Then \[\Rightarrow 9\dfrac{4}{5}=\dfrac{9\times 5+4}{5}=\dfrac{49}{5}\]
So, the whole number in fractional form is \[\dfrac{49}{5}\].
And if we want to calculate the fractional form of any whole number then we have to divide that as:
Eg., \[\dfrac{49}{5}\] \[\Rightarrow 5\overset{9}{\overline{\left){\begin{align}
  & 49 \\
 & \underline{45} \\
 & 4 \\
\end{align}}\right.}}\]
Then we can write it as a form of fraction and the whole number is \[9.\dfrac{4}{5}\].
So, as in our question: \[17.\dfrac{6}{8}\]
So, the whole fractional form is \[=\dfrac{17\times 8+6}{8}\]
\[=\dfrac{136+6}{8}=\dfrac{142}{8}=\dfrac{71}{4}\]
So, the number is \[\dfrac{71}{4}\].

Note: As we can calculate the fractional form and the whole number by these simple steps. But we should be careful about the steps of division and multiplication. We assure that we are multiplying our denominator to the whole number not to the numerator and on the other we assure that we are putting all the values at the right place for the fraction. Also, we need to be very attentive while solving the question.