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a/b is a fraction. If a is smaller than b, a/b is a:
- a)Unit fraction
- b)Proper fraction
- c)Improper fraction
- d)Mixed fraction
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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a/b is a fraction. If a is smaller than b,a/bis a:a)Unit fractionb)Pro...
Understanding the question:
We are given a fraction a/b, and the condition is that a is smaller than b. We need to determine the type of fraction that a/b represents.
Types of fractions:
To understand the answer, let's first understand the types of fractions:
1. Unit fraction: A unit fraction is a fraction where the numerator is 1. For example, 1/2, 1/3, 1/4, etc. The numerator is always smaller than the denominator.
2. Proper fraction: A proper fraction is a fraction where the numerator is smaller than the denominator. For example, 2/3, 3/4, 5/6, etc. In a proper fraction, the value of the fraction is always less than 1.
3. Improper fraction: An improper fraction is a fraction where the numerator is equal to or greater than the denominator. For example, 4/3, 5/4, 7/5, etc. In an improper fraction, the value of the fraction is always equal to or greater than 1.
4. Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. For example, 1 2/3, 3 1/4, 2 5/6, etc. In a mixed fraction, the whole number part is always greater than 0.
Applying the given condition:
In the given question, we are told that "a" is smaller than "b". Let's analyze the possible options:
a) Unit fraction: A unit fraction has a numerator of 1. Since "a" is smaller than "b", it cannot be a unit fraction because the numerator would be smaller than 1.
b) Proper fraction: A proper fraction has a numerator smaller than the denominator. Since "a" is smaller than "b", it fits the condition for a proper fraction.
c) Improper fraction: An improper fraction has a numerator equal to or greater than the denominator. Since "a" is smaller than "b", it cannot be an improper fraction.
d) Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. Since "a" is smaller than "b", it cannot be a mixed fraction because the whole number part would be 0 or negative.
e) None of these: This option is not applicable because "a/b" is definitely a fraction.
Conclusion:
Based on the given condition that "a" is smaller than "b", the fraction "a/b" represents a proper fraction (option b).
We are given a fraction a/b, and the condition is that a is smaller than b. We need to determine the type of fraction that a/b represents.
Types of fractions:
To understand the answer, let's first understand the types of fractions:
1. Unit fraction: A unit fraction is a fraction where the numerator is 1. For example, 1/2, 1/3, 1/4, etc. The numerator is always smaller than the denominator.
2. Proper fraction: A proper fraction is a fraction where the numerator is smaller than the denominator. For example, 2/3, 3/4, 5/6, etc. In a proper fraction, the value of the fraction is always less than 1.
3. Improper fraction: An improper fraction is a fraction where the numerator is equal to or greater than the denominator. For example, 4/3, 5/4, 7/5, etc. In an improper fraction, the value of the fraction is always equal to or greater than 1.
4. Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. For example, 1 2/3, 3 1/4, 2 5/6, etc. In a mixed fraction, the whole number part is always greater than 0.
Applying the given condition:
In the given question, we are told that "a" is smaller than "b". Let's analyze the possible options:
a) Unit fraction: A unit fraction has a numerator of 1. Since "a" is smaller than "b", it cannot be a unit fraction because the numerator would be smaller than 1.
b) Proper fraction: A proper fraction has a numerator smaller than the denominator. Since "a" is smaller than "b", it fits the condition for a proper fraction.
c) Improper fraction: An improper fraction has a numerator equal to or greater than the denominator. Since "a" is smaller than "b", it cannot be an improper fraction.
d) Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. Since "a" is smaller than "b", it cannot be a mixed fraction because the whole number part would be 0 or negative.
e) None of these: This option is not applicable because "a/b" is definitely a fraction.
Conclusion:
Based on the given condition that "a" is smaller than "b", the fraction "a/b" represents a proper fraction (option b).
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a/b is a fraction. If a is smaller than b,a/bis a:a)Unit fractionb)Pro...
Answer is b
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a/b is a fraction. If a is smaller than b,a/bis a:a)Unit fractionb)Proper fractionc)Improper fractiond)Mixed fractione)None of theseCorrect answer is option 'B'. Can you explain this answer?
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