Question

How do you rewrite the $\dfrac{{34}}{9}$ as a mixed fraction.

Answer 1

Hint: This problem comes under fraction. Fraction is how many parts of the whole we have. It is represented as \[\dfrac{a}{b}\], where a is a numerator and b is a denominator and a, b are integers b $ \ne $ 0. Here we have Improper fraction. We need to convert into mixed fractions. To convert improper to mixed fraction we should first divide and then write the quotient value as the whole number and remainder as numerator and divisor as denominator.

Complete step-by-step solution:
Let us consider the fraction $\dfrac{{34}}{9}$
Now after dividing the fraction and by applying method of converting improper to mixed fraction, we get
If we divide $34$ by $9$, we get quotient as $3$ and remainder is $7$
$\begin{array}{*{20}{c}}
  {{\text{ }}3} \\
  {9)\overline {34} } \\
  {{\text{ }}\underline {27} } \\
  {{\text{ 7}}}
\end{array}$
Now we write in the form of mixed fraction, we get
 $3\dfrac{7}{9}$
Thus, we can rewrite improper to mixed fractions.

Hence, the required answer is $3\dfrac{7}{9}$

Note: The problems related to fraction are likely to have problems on converting improper to mixed or mixed to improper fraction. Here we asked to rewrite improper to mixed fraction.
For that we need to know about fractions clearly.
There are three different types of fractions; they are proper, improper and mixed fractions. If the fraction has a numerator smaller than the denominator then it is a proper fraction.
If the fraction has a numerator greater than the denominator then it is an improper fraction.
From the improper fraction we convert into mixed fraction for that divide the numerator by the denominator.