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

The answer is 5235 5521 2356

Explanation:

Answer 2

`5(1)/(6) < 5(13)/(30) < 5(68)/(90)`

Explanation:

Represent the friends with A, B and C

`A = 5(13)/(30)`

`B = 5(1)/(6)`

`C = 5(68)/(90)`

Required

Order from least to highest

First, we convert the given parameters to decimal

`A = 5(13)/(30)`

`A = 5 + (13)/(30)`

`A = 5 + 0.43`

`A = 5.43`

`B = 5(1)/(6)`

`B = 5 + (1)/(6)`

`B = 5 + 0.17`

`B = 5.17`

`C = 5(68)/(90)`

`C = 5 + (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(1)/(6)`
`A = 5(13)/(30)`
`C = 5(68)/(90)`

Hence, the correct order is:

`5(1)/(6) < 5(13)/(30) < 5(68)/(90)`