Question

What do we get when we convert $\frac{23}{5}$ into mixed fraction?

• A. $23\frac{1}{5}$
• B. $20\frac{3}{5}$
• C. $4\frac{3}{5}$
• D. $5\frac{1}{5}$

Answer 1

The correct option is C $4\frac{3}{5}$

To convert into mixed fraction, we need to convert it into whole number part and fractional part. i.e., split the numerator as a sum of multiple of 5(which is nearest to 23 and less than 23) and a number less than 5.

20 is a multiple of 5, which is less than 23 and nearest to 23.

$\therefore \frac{23}{5}=\frac{(5\times 4)+3}{5}=\frac{(20+3)}{5}$

$=\frac{20}{5}+\frac{3}{5}=4\frac{3}{5}$