Which expression is equivalent to 2/3 x + 1?
A
1 (2x + 3)
31 (2 x + 3) 3
B
2 (2x + 3)
32 (2 x + 3) 3
C
2 (3x + 2)
32 (3 x + 2) 3
D
2 (3x + 1)
3
C (2x + 3) 3
The equivalent expression to 2/3x + 1 is option C: 2(3x + 2)/3.
To find the expression that is equivalent to 2/3 x + 1, you need to simplify the expression.
Start with the given expression: 2/3 x + 1
To simplify, you need to find a common denominator for the fractions. In this case, the common denominator is 3.
Multiply the first term, 2/3 x, by 3/3 to get (6/9)x.
Now the expression becomes: (6/9)x + 1
Next, you can simplify the fraction (6/9) by dividing both the numerator and denominator by their greatest common divisor, which is 3.
6 divided by 3 is 2, and 9 divided by 3 is 3.
So, the fraction (6/9) simplifies to (2/3).
Now the expression becomes: (2/3)x + 1
Comparing this expression to the given options:
A. (2x + 3)/3
B. (2x + 3)/3
C. (3x + 2)/3
D. (3x + 1)
The correct expression that is equivalent to 2/3 x + 1 is D. (3x + 1)