Which inequality correctly compares One-third, Five-sixths, and Three-fifths? One-third < Three-fifths < Five-sixths One-third < Five-sixths < Three-fifths Five-sixths < One-third < Three-fifths Five-sixths < Three-fifths < One-third

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]

Answer:

a

Step-by-step explanation: