To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $2$ is $4$. Multiply $\frac{x-1}{2}$ times $\frac{2}{2}$.
$$\frac{x+1}{4}-\frac{2\left(x-1\right)}{4}$$
Since $\frac{x+1}{4}$ and $\frac{2\left(x-1\right)}{4}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{x+1-2\left(x-1\right)}{4}$$
Do the multiplications in $x+1-2\left(x-1\right)$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $2$ is $4$. Multiply $\frac{x-1}{2}$ times $\frac{2}{2}$.
$$\frac{x+1}{4}-\frac{2\left(x-1\right)}{4}$$
Since $\frac{x+1}{4}$ and $\frac{2\left(x-1\right)}{4}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{x+1-2\left(x-1\right)}{4}$$
Do the multiplications in $x+1-2\left(x-1\right)$.
