Which of the following arranges the fractions \(-\frac{3}{5}\), \(\frac{7}{9}\), \(\frac{6}{7}\) in descending order?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{6}{7},\ \frac{7}{9},\ -\frac{3}{5}\)
A negative fraction is smaller than any positive one, so \(-\frac{3}{5}\) comes last. The two positive fractions are compared by cross-multiplying.
\(\frac{6}{7}\) and \(\frac{7}{9}\): \(6\times9=54\) and \(7\times7=49\)
54 is greater than 49, so \(\frac{6}{7}\) is greater than \(\frac{7}{9}\)
Descending order: \(\frac{6}{7},\ \frac{7}{9},\ -\frac{3}{5}\)
The correct order is Option (4).