How do you simplify #(4x)/9 + (x-10)/9#?

1 Answer

#(5(x-2))/9#

Explanation:

Because both terms have the same denominator, the terms can be added together ( numerator or top part)

If the denominators were not the same it would be necessary to find a common denominator so the terms could be added.

When you add the two numerators you get

# (4x + ( x - 10))/9 = (5x -10)/9#

#5x -10# has a common factor of 5. Use the reverse distribution principle to factor 5 out of both terms

= #(5(x -2))/9#