Question:
Which of the following is in descending order?
\(\dfrac{1}{3}, \dfrac{3}{4}, \dfrac{2}{7}, \dfrac{2}{3}\)
निम्नलिखित में से कौन सा अवरोही क्रम (descending order) में है?
\(\dfrac{1}{3}, \dfrac{3}{4}, \dfrac{2}{7}, \dfrac{2}{3}\)
Options:
- \(\dfrac{1}{3}, \dfrac{3}{4}, \dfrac{2}{7}, \dfrac{2}{3}\)
- \(\dfrac{3}{4}, \dfrac{2}{7}, \dfrac{2}{3}, \dfrac{1}{3}\)
- \(\dfrac{3}{4}, \dfrac{2}{3}, \dfrac{1}{3}, \dfrac{2}{7}\)
- \(\dfrac{3}{4}, \dfrac{2}{7}, \dfrac{1}{3}, \dfrac{2}{3}\)
- \(\dfrac{1}{3}, \dfrac{3}{4}, \dfrac{2}{7}, \dfrac{2}{3}\)
- \(\dfrac{3}{4}, \dfrac{2}{7}, \dfrac{2}{3}, \dfrac{1}{3}\)
- \(\dfrac{3}{4}, \dfrac{2}{3}, \dfrac{1}{3}, \dfrac{2}{7}\)
- \(\dfrac{3}{4}, \dfrac{2}{7}, \dfrac{1}{3}, \dfrac{2}{3}\)
Correct Answer: c)
Explanation:
Converting fractions to decimal values:
\(\dfrac{3}{4} = 0.75\)
\(\dfrac{2}{3} \approx 0.667\)
\(\dfrac{1}{3} \approx 0.333\)
\(\dfrac{2}{7} \approx 0.286\)
Descending order (largest to smallest):
\(\dfrac{3}{4} > \dfrac{2}{3} > \dfrac{1}{3} > \dfrac{2}{7}\).
भिन्नों के दशमलव मान:
\(\dfrac{3}{4} = 0.75\),
\(\dfrac{2}{3} \approx 0.667\),
\(\dfrac{1}{3} \approx 0.333\),
\(\dfrac{2}{7} \approx 0.286\).
अवरोही क्रम (घटते क्रम में): \(\dfrac{3}{4}, \dfrac{2}{3}, \dfrac{1}{3}, \dfrac{2}{7}\) (विकल्प c)।