Question

What is the sum of the tions? Use the number line and equivalent tions to help find the answer.

1/2−1/4+2/3
​
a) 5/6
b) 1/6
c) 7/6
d) 2/3

Answer 1

The sum of the fractions 1/2, -1/4, and 2/3 is 11/12 after finding the common denominator of 12, but this answer is not one of the provided options.

Step-by-step explanation:

The question is asking for the sum of fractions with different denominators, specifically 1/2, -1/4, and 2/3. To calculate this, we need to find a common denominator that can be used for all fractions. For 2, 4, and 3, the least common denominator is 12.

To convert each fraction to have the denominator of 12, we multiply as follows:

• 1/2 = 6/12 (multiply both numerator and denominator by 6)
• -1/4 = -3/12 (multiply both numerator and denominator by 3)
• 2/3 = 8/12 (multiply both numerator and denominator by 4)

Now we add the fractions with the common denominator:

6/12 - 3/12 + 8/12

The sum is:

11/12

However, this sum is not one of the options provided in the question. Given that none of the choices match the correct answer, there might be an issue with the question, or it may include a typo.