Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.

Answer
Attempt 1 out of 2

One Fraction:

Mixed Number:

3 answers

To help you express the shaded amount as a single fraction and as a mixed number, I'll need a bit more information about the diagram you're referring to. Specifically, can you describe the arrangement of the circles or give details about how many circles are shaded and how many are not?

Once I have that information, I can assist you in calculating the fractions!

in one all for shaded and in the other only one is shaded

From your description, it seems you have two circles:

  1. In the first circle, all units are shaded (1 unit).
  2. In the second circle, only one unit is shaded out of a total of one unit (1/1 shaded).

Here is how you can express the shaded amount as a single fraction and as a mixed number:

Step 1: Determine the Total Shaded Area

If one circle represents 1 unit and all of it is shaded, it's 1 unit. If another circle also represents 1 unit and only 1 out of 1 unit is shaded, it is still 1 unit shaded.

Total shaded amount from both circles:

  • First circle: 1 unit (whole)
  • Second circle: 1 unit (whole)

Total = 1 + 1 = 2 units

Step 2: Express as a Fraction

The total shaded amount is 2 units out of a total of 2 units (1 from each circle), so: \[ \text{One Fraction} = \frac{2}{2} = 1 \]

Step 3: Express as a Mixed Number

Since the total shaded amount is exactly 2 units, it can also be represented as: \[ \text{Mixed Number} = 2 \]

Final Answers

  • One Fraction: \(1\)
  • Mixed Number: \(2\)

If the circles were meant to convey another configuration or a different amount, please clarify!