simplify a+b-(a-3)/3 — step-by-step solution

Let's simplify:

a + b - \frac{a - 3}{3}

ⅰ

a - \frac{a - 3}{3}

\frac{3 a - (a - 3)}{3}

\frac{3 a - (a - 3)}{3} + b

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (a - 3)

- a + 3

\frac{3 a - a + 3}{3} + b

ⓘ Like terms are grouped by adding their coefficients:

3 a - a

2 a

\frac{2 a + 3}{3} + b

▶Simplified form:

b + \frac{2 a + 3}{3}