Use the Distributive Property to find the equivalent expression for
2/3 (18x+36)
2/3 (18x+36) can be rewritten using the distributive property as:
(2/3 * 18x) + (2/3 * 36)
Simplifying, we get:
12x + 24
To use the distributive property to simplify the expression 2/3 (18x+36), you need to distribute the fraction 2/3 to each term inside the parentheses individually.
To do this, you can multiply 2/3 by 18x and 2/3 by 36 separately, and then combine the results.
Let's start by distributing 2/3 to 18x:
(2/3) * (18x) = (2 * 18x) / 3
Multiplying the numerators together gives us:
2 * 18x = 36x
So, (2/3) * (18x) simplifies to 36x/3, which can be further simplified to 12x.
Next, let's distribute 2/3 to 36:
(2/3) * 36 = (2 * 36) / 3
Multiplying the numerators together gives us:
2 * 36 = 72
So, (2/3) * 36 simplifies to 72/3, which can be further simplified to 24.
Now, we have the simplified expressions for both terms:
(2/3) * (18x+36) = 12x + 24
Therefore, the equivalent expression of 2/3 (18x+36) using the distributive property is 12x + 24.
To find the equivalent expression using the Distributive Property, we need to distribute the 2/3 to both terms inside the parentheses.
First, distribute 2/3 to the first term:
(2/3) * (18x) = (2/3) * 18x = 36x/3 = 12x
Next, distribute 2/3 to the second term:
(2/3) * (36) = 2 * 36 / 3 = 72/3 = 24
Combining the two distributed terms, we get:
12x + 24
Therefore, the equivalent expression is 12x + 24.