Use the properties of operations to add 9(k+1/3)+10(1/2k−1)

1 answer

We can use the distributive property to simplify the expression.

9(k+1/3) + 10(1/2k-1)
9k + 9(1/3) + 10(1/2k) - 10(1)

Next, we can simplify the fractions:

9k + 3/3 + 10/2k - 10
9k + 1 + 5k - 10

Now, we can combine like terms:

(9k + 5k) + (1 - 10)
14k - 9

Therefore, the simplified expression is 14k - 9.