Question

How do I write 3/4 and 1/6 as a complex fraction

Answer 1

`\boxed{ (3)/(4) = ( (3)/(1) )/( (4)/(1) ) \to \: as \: a \: complex \: fraction} \\ and \\ \boxed{ (1)/(6) = ( (12)/(12) )/( (18)/(3) ) \to \: as \: a \: complex \: fraction}`

Explanation:

`since \: ( (1)/(2) )/(2) \: is \: a \: complex \: fraction \\ then \: to \: convert \: 3/4 \: and \: 1/6 \: \\ to \: complex \: fraction \to \\ (3)/(4) = ( (3)/(1) )/(4) \\ \boxed{ (3)/(4) = ( (3)/(1) )/( (4)/(1) ) \to \: as \: a \: complex \: fraction} \\ (1)/(6) = ( (12)/(12) )/( (18)/(3) ) = (12)/(12) / (18)/(3) = 1 / 6 = (1)/(6) \\ \boxed{ (1)/(6) = ( (12)/(12) )/( (18)/(3) ) \to \: as \: a \: complex \: fraction}`