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The product of two proper fractions is ___________ each of the fractions that are multiplied.
- a)more than
- b)greater than
- c)less than
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The product of two proper fractions is ___________ each of the fractio...
Explanation:
When two proper fractions are multiplied, the result is always less than each of the fractions that are multiplied. This can be explained using the following points:
1. Proper fractions are those fractions whose numerator is less than the denominator.
2. When two proper fractions are multiplied, the resulting fraction has a numerator which is the product of the numerators of the two fractions and the denominator is the product of the denominators of the two fractions.
3. Since the numerator and denominator of each fraction are positive integers, the product of the numerators and the product of the denominators are both positive integers.
4. When we compare the product of the two fractions with each of the fractions that are multiplied, we can see that the product is always less than each of the fractions.
5. This is because the numerator of the product is the product of the numerators of the two fractions, which is always less than each of the numerators, and the denominator of the product is the product of the denominators of the two fractions, which is always greater than each of the denominators.
6. Therefore, the product of two proper fractions is always less than each of the fractions that are multiplied.
Conclusion:
Hence, option 'C' is the correct answer as the product of two proper fractions is always less than each of the fractions that are multiplied.
When two proper fractions are multiplied, the result is always less than each of the fractions that are multiplied. This can be explained using the following points:
1. Proper fractions are those fractions whose numerator is less than the denominator.
2. When two proper fractions are multiplied, the resulting fraction has a numerator which is the product of the numerators of the two fractions and the denominator is the product of the denominators of the two fractions.
3. Since the numerator and denominator of each fraction are positive integers, the product of the numerators and the product of the denominators are both positive integers.
4. When we compare the product of the two fractions with each of the fractions that are multiplied, we can see that the product is always less than each of the fractions.
5. This is because the numerator of the product is the product of the numerators of the two fractions, which is always less than each of the numerators, and the denominator of the product is the product of the denominators of the two fractions, which is always greater than each of the denominators.
6. Therefore, the product of two proper fractions is always less than each of the fractions that are multiplied.
Conclusion:
Hence, option 'C' is the correct answer as the product of two proper fractions is always less than each of the fractions that are multiplied.
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Community Answer
The product of two proper fractions is ___________ each of the fractio...
When two proper fractions are multiplied, the product is less than both the fractions. Or, we say the value of the product of two proper fractions is smaller than each of the two fractions.
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