# How do you simplify \frac{10x+8y-1}{2 using the distributive property?

Nov 9, 2014

$\frac{10 x + 8 y - 1}{2}$

by distributing $\frac{1}{2}$ to each term in the numerator,

$= \frac{10 x}{2} + \frac{8 y}{2} - \frac{1}{2}$

by simplifying a bit further,

$= 5 x + 4 y - \frac{1}{2}$

I hope that this was helpful.