Which is greater 3 13/28 or 3 17/30?

Verified Answer :

13/28 = 195/420
17/30 =  238/420

So that means that 3 17/30 > 3 13/28

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.