In which example below does the colored section account for more than a of the shape as a whole?
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In which example below does the colored section account for more than a of the shape as a whole?
To find the shape where the colored section accounts for more than of the whole, we'll follow these steps:
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 .
Since is greater than , 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 , which is less than . This does not satisfy the condition.
**Choice 3:**
Here, 1 out of 5 sections is colored.
The fraction is , which is exactly but not more than .
**Choice 4:**
This shape has 1 out of 6 sections colored.
The fraction is , which is less than .
Therefore, in the example corresponding to Choice 1, the colored sections indeed account for more than of the entire shape.
The correct answer is Choice 1.
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
Look for the grid lines that divide the rectangle. Count all the equal-sized pieces, then count how many are colored. Each complete square is one section!
Use cross multiplication! For vs : multiply 1×5=5 and 1×3=3. Since 5>3, we know .
Both fractions represent the same amount! You can simplify by dividing both top and bottom by 2: .
The question asks for more than , so exactly doesn't count! It has to be greater than, not equal to.
Absolutely! , , . Decimals make comparing much easier for some students!
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