Question

How do you convert $\dfrac{66}{7}$ into a mixed fraction?

Answer 1

Hint: From the question we have been asked to convert the $\dfrac{66}{7}$ into a mixed fraction. To solve the above question as we know that mixed fraction means a fraction represented with its quotient and remainder is a mixed fraction. So, a mixed fraction is a combination of a whole number and a proper fraction. By doing division the mixed fraction will be written as $quotient\dfrac{remainder}{divisor}$

Complete step by step solution:
From the question we have to convert the fraction into mixed fraction,
$\Rightarrow \dfrac{66}{7}$
Again, we will have to convert this improper fraction into mixed fraction.
Now we have to divide $66$ with$7$,
by dividing we will get,
$\Rightarrow divisor=7$
$\Rightarrow quotient=9$
$\Rightarrow remainder=3$
From this three we can write mixed fraction is in the form,
$\Rightarrow quotient\dfrac{remainder}{divisor}$
$\Rightarrow 9\dfrac{3}{7}$
The final answer in mixed fraction is $ 9\dfrac{3}{7}$

Note: Students should know the definition of mixed fraction along with the mixed fraction students should know about the definition of proper fraction and improper fraction. Proper fraction means in this the denominator is greater than the numerator, for example $\dfrac{1}{5}$. Improper fraction means in this denominator is less than the numerator, for example $\dfrac{136}{5}$. Students should also know about the conversion of fraction to mixed fraction and vice versa.