Question

Express the following as a mixed fraction
\[\dfrac{{11}}{5}\].

Answer 1

Hint: A mixed fraction is a whole number and a proper fraction. To convert an improper fraction to a mixed fraction, follow these steps:
Divide the numerator by denominator.
Write down the whole number answer.
Then write down any remainder above the denominator.

Complete step-by-step answer:
The improper fraction is \[\dfrac{{11}}{5}\]. It is an improper fraction since its numerator is greater than its denominator.

Step 1: Divide the numerator by denominator
              \[11 \div 5 = 2{\text{ with a remainder of }}1\]
Step 2: Write down the whole number answer
              i.e., 2
step 3: Then write down any remainder above the denominator
             i.e., \[2\dfrac{1}{5}\]

Thus, the mixed fraction of \[\dfrac{{11}}{5}\] is \[2\dfrac{1}{5}\].

Note: In this problem to find mixed fraction first we should know what is a proper fraction. A proper fraction is a fraction whose numerator is smaller than its denominator. Divide the numerator with the denominator until you get the remainder less than the denominator.