Question

Express the simplest form 5 over 8 - 1 over 6

Answer 1

`(11)/(24)`

We require the denominators to be common

multiply numerator/denominator of 5/8 by 3 and 1/6 by 4, so that both fractions have a denominator of 24

=
`(15)/(24)` -
`(4)/(24)`

subtract the numerators leaving the denominator

=
`(15-4)/(24)` =
`(11)/(24)` in simplest form

Answer 2

4 2/7

Explanation:

5/((8-1)/6)

5/(7/6)

(5/1)/(7/6)=(5/1)*(6/7)

=30/7

=4 2/7