What is the sum of 1/3 + 2/6 + 5/6?

To find the sum of the fractions 1/3, 2/6, and 5/6, first, it's essential to express all the fractions with a common denominator. The denominators present are 3 and 6. The least common denominator (LCD) in this case is 6.

Now, convert 1/3 to have a denominator of 6:

1/3 is equivalent to 2/6.

Next, set up the sum with the common denominators:

2/6 (which is 1/3) + 2/6 + 5/6.

Now that all fractions are over the same denominator, add the numerators:

2 + 2 + 5 = 9.

So you have:

9/6.

Now, simplify 9/6:

Divide the numerator and the denominator by their greatest common factor, which is 3:

9 ÷ 3 = 3,

6 ÷ 3 = 2.

This simplifies to 3/2, which can also be expressed as a mixed number:

3/2 = 1 1/2.

Thus, the accurate sum of the fractions is 1 1/2.

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