Question

How do you \[8\dfrac{3}{7}\] as an improper fraction?

Answer 1

Hint: For improper fraction we see, that it's different from the normal fraction, as in normal fraction the numerator part is smaller than the denominator part, but in improper fraction the numerator part is greater than the denominator part.
For example \[\dfrac{{42}}{{17}}\] is an improper fraction.

Complete step-by-step answer:
For the given mixed fraction, simplification needs to be done for which we have to multiply the mixed term part with the denominator and add the numerator part to the product obtained, then the required simple fraction become as the total number we get after multiplying and adding as numerator and denominator will be same as per earlier given.
In mathematical term we can use the formulae as:
Using this our required fraction is:
 \[
   = \dfrac{{(8 \times 7) + 3}}{7} \\
   = \dfrac{{56 + 3}}{7} \\
   = \dfrac{{59}}{7} \;
 \]
So, the correct answer is “ $ \dfrac{{59}}{7} $ ”.

Note: Mixed fraction are only used for simplification of the fraction, in order to solve mixed fraction you have to first simplify it, except when the fraction part of the given mixed fractions are the same, in that case you can directly use the mathematical functions.
The given question is in the form of a mixed fraction, and to simplify it you have to follow a certain rule, and rest you can easily get the required fraction. Only improper fraction can be converted into mixed fraction and the only way is to divide the numerator with the maximum divisor and the rest number that is not dividing should be kept in the numerator part of the mixed fraction.