Question

Express the improper fraction as a mixed fraction.

$\frac{17}{3}$

Answer 1

To convert an improper fraction into a mixed fraction, we adopt the following steps:

• Divide the numerator by the denominator.
• Take the quotient as the whole number part of the mixed fraction, the remainder as the numerator, and the divisor as the denominator of the fractional part of the mixed fraction. Thus, the mixed fraction is written as :

$Quotient\frac{Remainder}{Divisor}$

The above steps can be used to convert $\frac{17}{3}$ into a mixed fraction as:

Step $1$: Dividing $17$ by $3$

$351715---2$

Step $2$: Writing the mixed form out of the division:

From step$1$, we have quotient$=5$, remainder$=2$, and divisor$=3$.

Therefore, the required mixed fraction $=5\frac{2}{3}$