Question

Arrange the following proportions in descending order: A. \(\frac{3}{13}\), B. \(\frac{4}{17}\), C. \(\frac{5}{19}\), D. \(\frac{7}{15}\), E. \(\frac{2}{5}\).

• A. D, E, C, B, A
• B. E, B, A, C, D
• C. B, A, D, E, C
• D. C, B, E, D, A

Hint:

For descending order, arrange fractions from greatest value to smallest value.

Answer 1

The Correct Option is A

To arrange fractions in descending order, compare their decimal values. \[ A=\frac{3}{13}=0.2307\ldots \] \[ B=\frac{4}{17}=0.2352\ldots \] \[ C=\frac{5}{19}=0.2631\ldots \] \[ D=\frac{7}{15}=0.4666\ldots \] \[ E=\frac{2}{5}=0.4. \] Now arrange from greatest to smallest: \[ 0.4666>0.4>0.2631>0.2352>0.2307. \] Therefore: \[ D>E>C>B>A. \] Hence, the correct answer is option (A).