Use the properties of operations add 9(k+1/3)+10(1/2k-1)
To simplify the expression, let's use the distributive property of multiplication over addition/subtraction:
9(k + 1/3) + 10(1/2k - 1)
= 9k + 9(1/3) + 10(1/2k) + 10(-1)
= 9k + 3 + 5k + (-10)
= 9k + 5k + 3 - 10
Now, combining like terms:
= (9k + 5k) + (3 - 10)
= 14k + (-7)
Simplified expression: 14k - 7
To simplify the expression 9(k+1/3) + 10(1/2k-1) using the properties of operations, let's break it down step by step:
Step 1: Distributive property
Apply the distributive property by multiplying each term inside the parentheses by the coefficients outside the parentheses:
9(k+1/3) + 10(1/2k-1)
= 9 * k + 9 * (1/3) + 10 * (1/2k) - 10 * 1
Step 2: Simplify fractions
To simplify fractions, multiply the numerator by the same number you multiplied the denominator to make it an integer:
= 9k + 9(1/3) + 10(1/2k) - 10 * 1
= 9k + 9/3 + 10/2k - 10
Simplifying further:
= 9k + 3 + 5/k - 10
= 9k + 5/k - 7
Therefore, using the properties of operations, the simplified form of 9(k+1/3)+10(1/2k-1) is 9k + 5/k - 7.
To simplify the expression using the properties of operations, follow these steps:
Step 1: Distribute the coefficients to the terms inside the parentheses.
9(k) + 9(1/3) + 10(1/2k) + 10(-1)
Step 2: Simplify the multiplication.
9k + (9/3) + (10/2)k - 10
Step 3: Simplify the fractions.
9k + 3 + 5k - 10
Step 4: Combine like terms.
(9k + 5k) + (3 - 10)
Step 5: Simplify further.
14k - 7
So, the simplified expression is 14k - 7.