Question

If you were 10 years old on

Earth, you would be 41.494 years old
on Mercury. Write the age on Mercury
as a mixed number in simplest form.

Answer 1

`41(247)/(500)`

Explanation:

41.494

=
`41(494)/(1000)`

to simplify the fraction 494 /1000, we have to find and divide both numerator and denominator by the their highest common factor

494 = 2 x 13 x 19

1000 = 2 x 2 x 2 x 5 x 5 x 5

comparing the two, we can see that that the only common factor that both numbers share is 2, hence we divide both numerator and denominator by 2

41 494/1000

=
`41(494)/(1000)`

=
`41(494/2)/(1000/2)`

=
`41(247)/(500)`