Question:
$a=\frac{4}{9},\; b=\frac{7}{12},\; c=\frac{3}{7},\; d=\frac{12}{17},\; e=\frac{1}{2}$. Then their descending order is?
$a=\frac{4}{9},\; b=\frac{7}{12},\; c=\frac{3}{7},\; d=\frac{12}{17},\; e=\frac{1}{2}$. Then their descending order is?
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Convert fractions to decimals when denominators are different—it speeds up comparison.
Updated On: Apr 23, 2026
- $d, b, e, a, c$
- $c, a, e, b, d$
- $e, d, c, b, a$
- $a, b, c, d, e$
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The Correct Option is A
Solution and Explanation
Concept:
Convert fractions to decimal form for easy comparison.
Step 1: Convert values.
\[ a = \frac{4}{9} \approx 0.44,\quad b = \frac{7}{12} \approx 0.58 \] \[ c = \frac{3}{7} \approx 0.43,\quad d = \frac{12}{17} \approx 0.71,\quad e = \frac{1}{2} = 0.5 \]
Step 2: Arrange in descending order.
\[ d (0.71)>b (0.58)>e (0.5)>a (0.44)>c (0.43) \]
Hence, the order is $d, b, e, a, c$.
Step 1: Convert values.
\[ a = \frac{4}{9} \approx 0.44,\quad b = \frac{7}{12} \approx 0.58 \] \[ c = \frac{3}{7} \approx 0.43,\quad d = \frac{12}{17} \approx 0.71,\quad e = \frac{1}{2} = 0.5 \]
Step 2: Arrange in descending order.
\[ d (0.71)>b (0.58)>e (0.5)>a (0.44)>c (0.43) \]
Hence, the order is $d, b, e, a, c$.
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