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

. Be sure to reduce any fractions to the lowest terms

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

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

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

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

Now we can combine both results: \[ \frac{3}{5}x + \frac{2}{3}y \]

The simplified expression is: \[ \frac{3}{5}x + \frac{2}{3}y \]