Simplify 3/10x + 1/6y + 3/10x + 3/6y

Question

. Be sure to reduce any fractions to the lowest terms.

Answer 1

To simplify the expression \( \frac{3}{10}x + \frac{1}{6}y + \frac{3}{10}x + \frac{3}{6}y \), let's first combine like terms.

1. Combine the \( x \) terms: \[ \frac{3}{10}x + \frac{3}{10}x = \frac{6}{10}x = \frac{3}{5}x \quad \text{(after simplifying)} \]

2. Combine the \( y \) terms: \[ \frac{1}{6}y + \frac{3}{6}y = \frac{4}{6}y = \frac{2}{3}y \quad \text{(after simplifying)} \]

Now, put it all together: \[ \frac{3}{5}x + \frac{2}{3}y \]

This is the simplified form of the expression. Thus, the final answer is: \[ \frac{3}{5}x + \frac{2}{3}y \]