To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $a$ and $2a$ is $2a$. Multiply $\frac{a+1}{a}$ times $\frac{2}{2}$.
Do the multiplications in $2\left(a+1\right)-\left(a+2\right)$.
$$\frac{2a+2-a-2}{2a}-\frac{a+3}{3a}$$
Combine like terms in $2a+2-a-2$.
$$\frac{a}{2a}-\frac{a+3}{3a}$$
Cancel out $a$ in both numerator and denominator.
$$\frac{1}{2}-\frac{a+3}{3a}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $3a$ is $6a$. Multiply $\frac{1}{2}$ times $\frac{3a}{3a}$. Multiply $\frac{a+3}{3a}$ times $\frac{2}{2}$.
$$\frac{3a}{6a}-\frac{2\left(a+3\right)}{6a}$$
Since $\frac{3a}{6a}$ and $\frac{2\left(a+3\right)}{6a}$ have the same denominator, subtract them by subtracting their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $a$ and $2a$ is $2a$. Multiply $\frac{a+1}{a}$ times $\frac{2}{2}$.
Do the multiplications in $2\left(a+1\right)-\left(a+2\right)$.
$$\frac{2a+2-a-2}{2a}-\frac{a+3}{3a}$$
Combine like terms in $2a+2-a-2$.
$$\frac{a}{2a}-\frac{a+3}{3a}$$
Cancel out $a$ in both numerator and denominator.
$$\frac{1}{2}-\frac{a+3}{3a}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $3a$ is $6a$. Multiply $\frac{1}{2}$ times $\frac{3a}{3a}$. Multiply $\frac{a+3}{3a}$ times $\frac{2}{2}$.
$$\frac{3a}{6a}-\frac{2\left(a+3\right)}{6a}$$
Since $\frac{3a}{6a}$ and $\frac{2\left(a+3\right)}{6a}$ have the same denominator, subtract them by subtracting their numerators.
