Respuesta :
Answer:
[tex]\frac{1}{3} \: < \: \frac{3}{5} \: < \: \frac{5}{6} [/tex]
Step-by-step explanation:
We want to compare the fractions
[tex] \frac{1}{3}, \frac{5}{6} , \frac{3}{5} [/tex]
First, we collect LCM
The LCM of 3,6, and 5 is 30
[tex] \frac{1}{3} = \frac{10}{30} , \\ \frac{5}{6} = \frac{25}{30} , \\ \frac{3}{5} = \frac{18}{30} [/tex]
[tex]\frac{10}{30} , \frac{18}{30} , \frac{25}{30} [/tex]
This means that
[tex]\frac{1}{3} , \frac{3}{5} , \frac{5}{6} [/tex]
Hence,
[tex]\frac{1}{3} \: < \: \frac{3}{5} \: < \: \frac{5}{6} [/tex]