Question

Show your work and explain in a full sentence how 4 2-6 is equivalent to 3 8-6.

Answer 1

`4(2)/(6) = 3(8)/(6) = (26)/(6)`

Step-by-step explanation:

Given

`4(2)/(6)` and
`3(8)/(6)`

Required

Show that they are equivalent

To do this, we simply convert both fractions to either decimal or improper fraction

Using improper fraction

`4(2)/(6) = (6 * 4 + 2)/(6)`

`4(2)/(6) = (24 + 2)/(6)`

`4(2)/(6) = (26)/(6)`

`3(8)/(6) = (6 *3+8)/(6)`

`3(8)/(6) = (18+8)/(6)`

`3(8)/(6) = (26)/(6)`

After converting both to improper fraction, we have:

`4(2)/(6) = 3(8)/(6) = (26)/(6)`

Hence, both are equivalent