Question

How do you rewrite $ \dfrac{{28}}{9} $ as a mixed number?

Answer 1

Hint: A mixed number or a mixed fraction is defined as a combination of a whole number and a mixed fraction. Given to us in an improper fraction and in order to convert this improper fraction into a mixed fraction, we have to follow certain steps.

Complete step-by-step answer:
Given to us is an improper fraction $ \dfrac{{28}}{9} $
An improper fraction is a fraction in which the numerator value is greater than the denominator value.
In order to convert this fraction into a mixed fraction, let us first divide the numerator by the denominator.
So we get $ 28 \div 9 = 3 $ with a remainder of $ 1 $
Now, the quotient of this division becomes the whole number of the mixed fraction and hence the whole number is $ 3 $
Now, for the proper fraction, we write the remainder of the division as the numerator and the divisor of the division as the denominator.
Hence, the numerator is $ 1 $ and the denominator is $ 9 $ so the proper fraction can be written as $ \dfrac{1}{9} $
We can now combine both the whole number and the proper fraction to get the value of the mixed fraction as $ 3\dfrac{1}{9} $
Therefore the mixed fraction of the given improper fraction is $ 3\dfrac{1}{9} $
So, the correct answer is “ $ 3\dfrac{1}{9} $ ”.

Note: It is to be noted that in an improper fraction, the numerator value is greater than the denominator value whereas in a proper fraction, the denominator value will be greater than the numerator value. So in order to convert a fraction into a mixed fraction, we have to divide the numerator until the remainder value is less than the denominator.