Question
Let x = 2.
Evaluate the expression.
x + 4/3x
Enter your answer in the box.
To evaluate the expression x + (4/3)x when x = 2, we substitute the value of x into the expression:
2 + (4/3)(2)
= 2 + (8/3)
Now, to add fractions, the fractions need to have a common denominator. In this case, the common denominator is 3. So, we need to make the whole number 2 a fraction with the denominator 3.
= (2/1)(3/3) + (8/3)
= 6/3 + 8/3
Now, we can add the fractions:
= (6 + 8)/3
= 14/3
Therefore, when x = 2, the expression x + (4/3)x equals 14/3.
Of course the student neglected to use parentheses so the answer could be:
x+ 4/3x = 2 + 4/6 = 12/6 + 4/6 = 16/6 = 8/3 = 2 2/3
Apologies for the oversight. You are correct in emphasizing the need for parentheses to clarify the order of operations.
Using the expression x + (4/3)x with x = 2, we can proceed as follows:
2 + (4/3)(2)
= 2 + (4/3)(2)
= 2 + (8/3)
= 2 + (8/3)
= 6/3 + 8/3
= 14/3
Therefore, when x = 2, the expression x + (4/3)x equals 14/3 or 4 2/3.