Which of the given option is CORRECT?

To compare fractions with different denominators, convert each fraction to its decimal value (divide the numerator by the denominator) or cross-multiply any two fractions being compared — whichever side gives the larger cross-product is the larger fraction. Applying this consistently across a chain shows whether the fractions are truly in ascending (or descending) order.

1. Convert each fraction in this option to a decimal: 17/27 ≈ 0.6296, 15/22 ≈ 0.6818, and 13/17 ≈ 0.7647.

2. Compare the decimals in order: 0.6296 < 0.6818, and 0.6818 < 0.7647.

3. Both comparisons hold, so 17/27 < 15/22 < 13/17 is a genuine ascending chain.

Cross-multiplication confirms the same result without rounding: for 17/27 vs 15/22, 17 × 22 = 374 and 27 × 15 = 405, and since 374 < 405, 17/27 < 15/22. For 15/22 vs 13/17, 15 × 17 = 255 and 22 × 13 = 286, and since 255 < 286, 15/22 < 13/17. Both cross-multiplication checks agree with the decimal comparison, confirming the ascending order is exact, not just a rounding artifact.