Question

Find the difference: $\frac{2}{5}-\frac{2}{9}$

• A. $\frac{13}{45}$
• B. $\frac{11}{45}$
• C. $\frac{8}{45}$
• D. $\frac{7}{45}$

Answer 1

The correct option is C

$\frac{8}{45}$

To find the value of $\frac{2}{5}-\frac{2}{9}$, we have to find the LCM od 5 and 9.
Since 5 and 9 have no common factors, we can multiply them directly to find their LCM.
LCM of 5 and 9 $=5\times 9=45$

$\frac{2}{5}-\frac{2}{9}$ $=\frac{2\times 9}{5\times 9}-\frac{2\times 5}{9\times 5}=\frac{18}{45}-\frac{10}{45}=\frac{18-10}{45}=\frac{8}{45}$