Visual Fraction Comparison: Identifying Sections Greater Than 1/5

Question

In which example below does the colored section account for more than a 15 \frac{1}{5} of the shape as a whole?

Video Solution

Step-by-Step Solution

To find the shape where the colored section accounts for more than 15 \frac{1}{5} of the whole, we'll follow these steps:

  • Step 1: Count the total number of sections in each shape.
  • Step 2: Count the number of sections that are colored.
  • Step 3: Calculate the fraction represented by the colored sections.
  • Step 4: Compare this fraction with 15 \frac{1}{5} .

Let's apply this to the given choices:

**Choice 1:**
The shape is comprised of 6 sections, with 2 sections being colored.
The fraction of the shape that is colored is 26=13 \frac{2}{6} = \frac{1}{3} .
Since 13 \frac{1}{3} is greater than 15 \frac{1}{5} , this choice meets the condition.

**Choice 2:**
The shape is similar but has only 1 section colored out of 6 in total.
The fraction is 16 \frac{1}{6} , which is less than 15 \frac{1}{5} . This does not satisfy the condition.

**Choice 3:**
Here, 1 out of 5 sections is colored.
The fraction is 15 \frac{1}{5} , which is exactly 15 \frac{1}{5} but not more than 15 \frac{1}{5} .

**Choice 4:**
This shape has 1 out of 6 sections colored.
The fraction is 16 \frac{1}{6} , which is less than 15 \frac{1}{5} .

Therefore, in the example corresponding to Choice 1, the colored sections indeed account for more than 15 \frac{1}{5} of the entire shape.

The correct answer is Choice 1.

Answer