Write the rational number whose denominator is the smallest 2 digit nu...
- The smallest 2-digit number is 10.
- The greatest 3-digit number is 999.
Thus, the rational number with the smallest 2-digit number as the denominator and the greatest 3-digit number as the numerator is:
999/10
Final Answer: Option B: 999/10.
View all questions of this test
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.
Write the rational number whose denominator is the smallest 2 digit nu...
B) 999/10