Three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start fraction 68 over 90 end fraction feet. Put the heights of the friends in order from least to greatest. A. 5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction < 5 and one-sixth B. 5 and start fraction 13 over 30 end fraction <5 and one-sixth <5 and start fraction 68 over 90 end fraction C. 5 and one-sixth <5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction D. 5 and one-sixth <5 and start fraction 13 over 30 end fraction< 5 and start fraction 68 over 90 end fraction

Answers

Answer 1

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]

Answer 2

Answer:

The answer is 5235 5521 2356

Step-by-step explanation:


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