Question

Which of the following expressions are equivalent to 5/6? Select two that apply.

−7/6+2

1/3+4/3

−2/3−(−7/3)

8.6+(−13.6)

4/6+(−1/6)



8/12−(−2/12)

Answer 1

To find the expressions equivalent to 5/6, we simplify each expression and compare the results. Only 8/12 - (-2/12) is equivalent to 5/6.

Step-by-step explanation:

In order to determine which of the given expressions are equivalent to 5/6, we can simplify each expression and compare the results to 5/6.

Let's simplify each expression:

1. -7/6 + 21/3 + 4/3 - 2/3 - (-7/3)
   First, we simplify the subtraction inside the parentheses: - (-7/3) = 7/3. Then, we add the fractions: -7/6 + 7/3 = -1/2. This expression is not equivalent to 5/6.
2. 8.6 + (-13.6)
   8.6 + (-13.6) = -5. This expression is not equivalent to 5/6.
3. 4/6 + (-1/6)
   4/6 + (-1/6) = 3/6 = 1/2. This expression is not equivalent to 5/6.
4. 8/12 - (-2/12)
   We simplify the subtraction inside the parentheses: - (-2/12) = 2/12 = 1/6. Then, we subtract the fractions: 8/12 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2. This expression is equivalent to 5/6.

Therefore, the expressions that are equivalent to 5/6 are 8/12 - (-2/12) and none of the above expressions.