**To convert an improper fraction as a mixed fraction, we follow the following steps:**

Step 1) Obtain the improper fraction.

Step 2) Divide the numerator by the denominator and obtain the quotient and remainder.

Step 3) Write the mixed fraction as:

**\(Quotient = \frac{Remainder}{Denominator}\)**

Consider the improper fraction \(\frac{13}{6}\). In order to convert it into a mixed number, divide the numerator 13 by the denominator 6.

The quotient 2 forms the whole number of the mixed number

The remainder 1 forms the numerator of the fraction

The divisor 6 forms the denominator of the fraction.

Thus, \(\frac{13}{6}\) = \(2\frac{1}{6}\)

**Observe the following diagram:**

\(\frac{13}{6}\) means dividing the whole into 6 equal parts and considering 13 such parts.

13 such parts = 6 parts + 6 parts + 1 part

= 1 + 1 + \(\frac{1}{6}\) = \(2\frac{1}{6}\) (6 parts make 1 whole)

Consider another improper fraction \(\frac{8}{3}\). In order to convert it into a mixed number, divide the numerator 8 by the denominator 3.

The quotient 2 forms the whole number of the mixed number

The remainder 2 forms the numerator of the fraction

The divisor 3 forms the denominator of the fraction.

Thus, \(\frac{8}{3}\) = \(2\frac{2}{3}\)

**Observe the following diagram:**

\(\frac{8}{3}\) means dividing the whole into 3 equal parts and considering 8 such parts.

8 such parts = 3 parts + 3 parts + 2 parts

= 1 + 1 + \(\frac{2}{3}\) = \(2\frac{2}{3}\) (3 parts make 1 whole)