Answer:
[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]
Step-by-step explanation:
Represent the friends with A, B and C
[tex]A = 5\frac{13}{30}[/tex]
[tex]B = 5\frac{1}{6}[/tex]
[tex]C = 5\frac{68}{90}[/tex]
Required
Order from least to highest
First, we convert the given parameters to decimal
[tex]A = 5\frac{13}{30}[/tex]
[tex]A = 5 + \frac{13}{30}[/tex]
[tex]A = 5 + 0.43[/tex]
[tex]A = 5.43[/tex]
[tex]B = 5\frac{1}{6}[/tex]
[tex]B = 5 + \frac{1}{6}[/tex]
[tex]B = 5 + 0.17[/tex]
[tex]B = 5.17[/tex]
[tex]C = 5\frac{68}{90}[/tex]
[tex]C = 5 + \frac{68}{90}[/tex]
[tex]C = 5 + 0.76[/tex]
[tex]C = 5.76[/tex]
So, we have:
[tex]A = 5.43[/tex] [tex]B = 5.17[/tex] [tex]C = 5.76[/tex]
Order from least to greatest
[tex]B = 5.17[/tex] [tex]A = 5.43[/tex] [tex]C = 5.76[/tex]
Replace them with the original values
[tex]B = 5\frac{1}{6}[/tex] [tex]A = 5\frac{13}{30}[/tex] [tex]C = 5\frac{68}{90}[/tex]
Hence, the correct order is:
[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]
