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If you divide a square into four equal parts and shade one of them, what fraction of the whole square is shaded?
- a)1/2
- b)1/4
- c)3/4
- d)1/3
Correct answer is option 'B'. Can you explain this answer?
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If you divide a square into four equal parts and shade one of them, wh...
Understanding the Problem
When we divide a square into four equal parts, we are essentially breaking it into smaller squares or rectangles of equal size. Each of these parts is a quarter of the original square.
Visualizing the Division
- Imagine a square.
- Divide it by drawing one vertical and one horizontal line through the center.
- This creates four smaller squares.
Calculating the Shaded Area
If you shade one of these four equal parts, you need to determine what fraction of the whole square is now shaded.
- Total parts created: 4 (since we divided the square into four equal parts)
- Shaded part: 1 (only one of those four parts is shaded)
Finding the Fraction
To find the fraction of the whole square that is shaded, you use the formula:
- Shaded area = Number of shaded parts / Total parts
- Shaded area = 1 / 4
Conclusion
Thus, when one part out of the four is shaded, the fraction of the whole square that is shaded is:
- 1/4
Therefore, the correct answer is option B: 1/4. This means that one-quarter of the square is shaded, making it clear that the other three parts remain unshaded.
When we divide a square into four equal parts, we are essentially breaking it into smaller squares or rectangles of equal size. Each of these parts is a quarter of the original square.
Visualizing the Division
- Imagine a square.
- Divide it by drawing one vertical and one horizontal line through the center.
- This creates four smaller squares.
Calculating the Shaded Area
If you shade one of these four equal parts, you need to determine what fraction of the whole square is now shaded.
- Total parts created: 4 (since we divided the square into four equal parts)
- Shaded part: 1 (only one of those four parts is shaded)
Finding the Fraction
To find the fraction of the whole square that is shaded, you use the formula:
- Shaded area = Number of shaded parts / Total parts
- Shaded area = 1 / 4
Conclusion
Thus, when one part out of the four is shaded, the fraction of the whole square that is shaded is:
- 1/4
Therefore, the correct answer is option B: 1/4. This means that one-quarter of the square is shaded, making it clear that the other three parts remain unshaded.
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Community Answer
If you divide a square into four equal parts and shade one of them, wh...
Since one out of four equal parts is shaded, the shaded fraction is 1/4.
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If you divide a square into four equal parts and shade one of them, what fraction of the whole square is shaded?a)1/2b)1/4c)3/4d)1/3Correct answer is option 'B'. Can you explain this answer?
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