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Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.
- a)999/100
- b)999/10
- c)99
- d)99/10
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Write the rational number whose denominator is the smallest 2 digit nu...
Explanation:
The question asks for a rational number with the greatest 3-digit numerator and the smallest 2-digit denominator.
Step 1:
We need to find the greatest 3-digit number. The greatest 3-digit number is 999.
Step 2:
We need to find the smallest 2-digit number. The smallest 2-digit number is 10.
Step 3:
To form the rational number, we need to divide the numerator (999) by the denominator (10).
Step 4:
Dividing 999 by 10, we get 99.9.
Step 5:
However, since the denominator must be a whole number, we need to simplify the fraction.
Step 6:
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD).
Step 7:
The GCD of 999 and 10 is 1.
Step 8:
Dividing both the numerator and the denominator by 1, we get the simplified fraction 999/10.
Therefore, the rational number with the greatest 3-digit numerator (999) and the smallest 2-digit denominator (10) is 999/10.
Therefore, the correct answer is option B) 999/10.
The question asks for a rational number with the greatest 3-digit numerator and the smallest 2-digit denominator.
Step 1:
We need to find the greatest 3-digit number. The greatest 3-digit number is 999.
Step 2:
We need to find the smallest 2-digit number. The smallest 2-digit number is 10.
Step 3:
To form the rational number, we need to divide the numerator (999) by the denominator (10).
Step 4:
Dividing 999 by 10, we get 99.9.
Step 5:
However, since the denominator must be a whole number, we need to simplify the fraction.
Step 6:
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD).
Step 7:
The GCD of 999 and 10 is 1.
Step 8:
Dividing both the numerator and the denominator by 1, we get the simplified fraction 999/10.
Therefore, the rational number with the greatest 3-digit numerator (999) and the smallest 2-digit denominator (10) is 999/10.
Therefore, the correct answer is option B) 999/10.
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Community Answer
Write the rational number whose denominator is the smallest 2 digit nu...
B) 999/10
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Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.a)999/100b)999/10c)99d)99/10Correct answer is option 'B'. Can you explain this answer?
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