ABC26GN0615 · Decimal Fractions

Subject: General Aptitude · Chapter: Decimal Fractions · Exam: · Marks: · Difficulty:

Which of the following has fractions in ascending order?

(a)$\frac{2}{3}, \frac{3}{5}, \frac{7}{9}, \frac{9}{11}, \frac{8}{9}$

(b)$\frac{3}{5}, \frac{2}{3}, \frac{9}{11}, \frac{7}{9}, \frac{8}{9}$

(c)$\frac{3}{5}, \frac{2}{3}, \frac{7}{9}, \frac{9}{11}, \frac{8}{9}$

(d)$\frac{8}{9}, \frac{9}{11}, \frac{7}{9}, \frac{2}{3}, \frac{3}{5}$

(e)$\frac{8}{9}, \frac{9}{11}, \frac{7}{9}, \frac{3}{5}, \frac{2}{3}$

Answer

Answer (as printed): C

Explanation

Converting each of the given fractions into decimal form, we get: $$\frac{2}{3}=0.66, \frac{3}{5}=0.6, \frac{7}{9}=0.77, \frac{9}{11}=0.81, \frac{8}{9}=0.88 .$$ Clearly, $0.6<0.66<0.77<0.81<0.88$. $$\text { So, } \frac{3}{5}<\frac{2}{3}<\frac{7}{9}<\frac{9}{11}<\frac{8}{9} \text {. }$$

Explanation as extracted from the printed page; notation may be imperfect.

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