Respuesta :

13/28 = 195/420
17/30 =  238/420

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

Answer:

[tex]3\frac{17}{30}[/tex]

Step-by-step explanation:

Given fractions,

[tex]3\frac{13}{28}, 3\frac{17}{30}[/tex]

Since,

LCM(28, 30) = 420

[tex]\frac{420}{28}=15[/tex]

[tex]\frac{420}{30}=14[/tex]

[tex]\frac{13}{28}=\frac{13\times 15}{420}=\frac{195}{420}[/tex]

[tex]\frac{17}{30}=\frac{17\times 14}{420}=\frac{238}{420}[/tex]

[tex]\implies \frac{13}{28} < \frac{17}{30}[/tex]

[tex]\implies 3\frac{13}{28} < 3\frac{17}{30}[/tex]

Hence, [tex]3\frac{17}{30}[/tex] is greater.