Question

$\frac{22}{6}-\frac{20}{24}=?$

• A. $2\frac{5}{6}$
• B. $\frac{15}{6}$
• C. $4\frac{1}{2}$
• D. $2\frac{2}{3}$

Answer 1

The correct option is A $2\frac{5}{6}$

Let's first write $\frac{20}{24}$ in its simplest form.

$\Rightarrow \frac{20}{24}=$ $\frac{20÷4}{24÷4}=\frac{5}{6}$

($\because$ HCF of 20 and 24 is 4)

Now, $\frac{22}{6}-\frac{20}{24}=\frac{22}{6}-\frac{5}{6}$

$=\frac{22-5}{6}=\frac{17}{6}$

$=\frac{(6\times 2)+5}{6}$

$=2\frac{5}{6}$