Use the Distributive Property to find the equivalent expression for
2/3(18x+36)
To use the distributive property, we need to distribute the 2/3 to both terms inside the parentheses:
2/3 * 18x + 2/3 * 36
When multiplying fractions, we multiply the numerators together and the denominators together:
(2 * 18x) / (3 * 1) + (2 * 36) / (3 * 1)
Simplifying the expressions inside the parentheses:
36x / 3 + 72 / 3
Simplifying further:
12x + 24
So, the equivalent expression is 12x + 24.
To use the Distributive Property to find the equivalent expression, you need to distribute the coefficient 2/3 to each term inside the parentheses (18x and 36). Here's how you can do it step by step:
Step 1: Multiply the coefficient 2/3 by the first term inside the parentheses, 18x.
2/3 * 18x = (2/3) * (18/1) * (x/1) = (36/3) * x = 12x
Step 2: Multiply the coefficient 2/3 by the second term inside the parentheses, 36.
2/3 * 36 = (2/3) * (36/1) = (72/3) = 24
Step 3: Write the results from Step 1 and Step 2 as the new expression.
The equivalent expression is 12x + 24.
To use the Distributive Property, we need to distribute the 2/3 to each term inside the parentheses.
First, distribute the 2/3 to the term 18x:
2/3 * 18x = (2/3) * 18 * x = (2 * 18 * x) / 3 = 36x / 3 = 12x
Next, distribute the 2/3 to the term 36:
2/3 * 36 = (2/3) * 36 = (2 * 36) / 3 = 72 / 3 = 24
Combining the results, the equivalent expression is:
12x + 24