Question

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

Answer 1

Answer:

The answer is 5235 5521 2356

Step-by-step explanation:

Answer 2

Answer:

$5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}$

Step-by-step explanation:

Represent the friends with A, B and C

$A = 5\frac{13}{30}$

$B = 5\frac{1}{6}$

$C = 5\frac{68}{90}$

Required

Order from least to highest

First, we convert the given parameters to decimal

$A = 5\frac{13}{30}$

$A = 5 + \frac{13}{30}$

$A = 5 + 0.43$

$A = 5.43$

$B = 5\frac{1}{6}$

$B = 5 + \frac{1}{6}$

$B = 5 + 0.17$

$B = 5.17$

$C = 5\frac{68}{90}$

$C = 5 + \frac{68}{90}$

$C = 5 + 0.76$

$C = 5.76$

So, we have:

$A = 5.43$      $B = 5.17$      $C = 5.76$

Order from least to greatest

$B = 5.17$       $A = 5.43$          $C = 5.76$

Replace them with the original values

$B = 5\frac{1}{6}$       $A = 5\frac{13}{30}$      $C = 5\frac{68}{90}$

Hence, the correct order is:

$5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}$