Ascending order of rational numbers

CMAT 2021 · Quantitative Techniques & Data Interpretation · Easy · Number Systems

Arrange the following rational numbers in ascending order: (A) −45-\frac{4}{5} (B) −512-\frac{5}{12} (C) −718-\frac{7}{18} (D) −23-\frac{2}{3}

  1. A.

    (A), (B), (D), (C)

  2. B.

    (C), (D), (B), (A)

  3. C.

    (A), (D), (B), (C)

  4. D.

    (D), (C), (B), (A)

Answer

C

Explanation

Convert each fraction to decimal: (A) −45=−0.80-\frac{4}{5} = -0.80 (B) −512≈−0.416-\frac{5}{12} \approx -0.416 (C) −718≈−0.388-\frac{7}{18} \approx -0.388 (D) −23≈−0.666-\frac{2}{3} \approx -0.666

Ascending order (smallest to largest): −0.80<−0.666<−0.416<−0.388-0.80 < -0.666 < -0.416 < -0.388 (A)<(D)<(B)<(C)(A) < (D) < (B) < (C)

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