Question

Converting improper fractions to mixed numbers like 34/9

Answer 1

For this problem, we are given an improper fraction, and we need to convert it to a mixed fraction.

The first step to do this is to find the maximum multiplier for the denominator, which is smaller than the numerator. For this case, the denominator is equal to 9, and the numerator is 34. Therefore the maximum multiplier for the denominator that is lesser than the numerator, is 27.

We now need to represent the numerator as a sum containing the number 27. This is done below:

`\begin{gathered} (34)/(9) \\ (27+7)/(9) \\ (27)/(9)+(7)/(9) \end{gathered}`

Now we need to divide the part of the sum that can be simplified:

`\begin{gathered} 3+(7)/(9) \\ 3(7)/(9) \end{gathered}`

The mixed fraction is 3 7/9.