Q. Arrange in order, from least to greatest: -8/5, -3/2, -19/11
(A) -8/5 < -3/2 < -19/11
(B) -19/11 < -3/2 < -8/5
(C) -19/11 < -8/5 < -3/2
(D) -3/2 < -19/11 < -8/5
Question from Odisha OCS Paper 2 2024
The correct answer is (C) -19/11 < -8/5 < -3/2.
Explanation:
To solve this, we need to compare the given fractions: -8/5, -3/2, and -19/11. Since all the numbers are negative, the smaller the absolute value, the greater the number.
Step 1: Convert all fractions to decimals
-8/5 = -1.6
-3/2 = -1.5
-19/11 = -1.727 (approximately)
Step 2: Compare the decimals
From least to greatest:
The smallest number is -19/11 (-1.727).
The next smallest is -8/5 (-1.6).
The largest is -3/2 (-1.5).
Step 3: Write the order
From least to greatest: -19/11 < -8/5 < -3/2
Final Answer: The correct option is (C) -19/11 < -8/5 < -3/2.
