Question

1. - / 1 points

combine and simplify.
\\(\frac{10 - y}{10} + \frac{6y}{10}\\)

Explanation:

Step1: Combine the fractions (same denominator)

Since both fractions have a denominator of 10, we can combine the numerators: $\frac{(10 - y) + 6y}{10}$

Step2: Simplify the numerator

Simplify the numerator by combining like terms: $10 - y + 6y = 10 + 5y$，so we have $\frac{10 + 5y}{10}$

Step3: Factor and simplify

Factor out a 5 from the numerator: $\frac{5(2 + y)}{10}$, then divide numerator and denominator by 5: $\frac{2 + y}{2}$ or $\frac{y + 2}{2}$ (we can also write it as $1+\frac{y}{2}$ but the simplified fraction form is better here)

Answer:

$\frac{y + 2}{2}$ (or $\frac{2 + y}{2}$)