Which expression is equivalent to 2/3 x + 1?
(2/3)x + 1
To find an expression that is equivalent to 2/3x + 1, you can simplify the expression by distributing the 2/3 to the x term. This can be done by multiplying 2/3 by x and then adding 1 at the end.
So, you can write the expression as follows:
(2/3) * x + 1.
Now, multiply 2/3 by x:
(2/3) * x = 2x/3.
Therefore, the equivalent expression is:
2x/3 + 1.
To find an expression that is equivalent to 2/3 x + 1, we can start by distributing the fraction 2/3 to the term x. This means multiplying 2/3 by x.
2/3 x + 1
= (2/3) * x + 1
Multiplying a fraction and a number is done by multiplying the numerators together and multiplying the denominators together. So, multiplying (2/3) and x, we get:
= (2/3) * x + 1
= (2 * x) / (3) + 1
Now, we have (2 * x) / (3) + 1. To simplify this expression further, since we have a fraction plus a whole number, we need to have a common denominator. In this case, the common denominator is 3.
So, we can rewrite 1 as a fraction with a denominator of 3:
= (2 * x) / (3) + (1 * 3) / (3)
= (2 * x) / (3) + 3 / (3)
Now that we have a common denominator, we can add the fractions together:
= (2 * x + 3) / (3)
Therefore, the expression that is equivalent to 2/3 x + 1 is (2 * x + 3) / 3.