Question

Subtract: $\frac{-18}{11}$ from $\frac{1}{1}$.

Answer 1

Since the denominators are different we need to take LCM
The LCM of $11$ and $1$ is $11$
$\therefore$ By multiplying both numerator and denominator with $1$ we get, $\frac{-18}{11}=\frac{-18\times 1}{11\times 1}=\frac{-18}{11}$
And by multiplying both numerator and denominator with $11$ we get, $\frac{1}{1}=\frac{1\times 11}{1\times 11}=\frac{11}{11}$
Now by subtracting $\frac{1}{1}-\frac{-18}{11}=\frac{11}{11}-\frac{-18}{11}$
Since we have the same denominators we can subtract directly, $\frac{11-(-18)}{11}=\frac{11+18}{11}\Rightarrow \frac{29}{11}$.