Answer:
\(3\frac{17}{30}\)
Step-by-step explanation:
Given fractions,
\(3\frac{13}{28}, 3\frac{17}{30}\)
Since,
LCM(28, 30) = 420
\(\frac{420}{28}=15\)
\(\frac{420}{30}=14\)
\(\frac{13}{28}=\frac{13\times 15}{420}=\frac{195}{420}\)
\(\frac{17}{30}=\frac{17\times 14}{420}=\frac{238}{420}\)
\(\implies \frac{13}{28} < \frac{17}{30}\)
\(\implies 3\frac{13}{28} < 3\frac{17}{30}\)
Hence, \(3\frac{17}{30}\) is greater.