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Which of the following numbers are less than 
(9)/(4) ?
Choose all answers that apply:
A 
(11)/(4)
B 
(15)/(8)
C 2.201

Which of the following numbers are less than 94 \frac{9}{4} ?\newlineChoose all answers that apply:\newline(A) 114 \frac{11}{4} \newline(B) 158 \frac{15}{8} \newline(C) 22.201201

Full solution

Q. Which of the following numbers are less than 94 \frac{9}{4} ?\newlineChoose all answers that apply:\newline(A) 114 \frac{11}{4} \newline(B) 158 \frac{15}{8} \newline(C) 22.201201
  1. Convert to decimal: Convert the fraction (9)/(4)(9)/(4) to a decimal to make comparisons easier.\newlineCalculation: (9)/(4)=2.25(9)/(4) = 2.25
  2. Compare option A: Compare option A (11)/(4)(11)/(4) to (9)/(4)(9)/(4).\newlineCalculation: (11)/(4)=2.75(11)/(4) = 2.75\newlineSince 2.752.75 is greater than 2.252.25, (11)/(4)(11)/(4) is not less than (9)/(4)(9)/(4).
  3. Compare option B: Compare option B (15)/(8)(15)/(8) to (9)/(4)(9)/(4).\newlineCalculation: (15)/(8)=1.875(15)/(8) = 1.875\newlineSince 1.8751.875 is less than 2.252.25, (15)/(8)(15)/(8) is less than (9)/(4)(9)/(4).
  4. Compare option C: Compare option CC 2.2012.201 to (9)/(4)(9)/(4).\newlineSince 2.2012.201 is less than 2.252.25, 2.2012.201 is less than (9)/(4)(9)/(4).

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