Question

if a man jobs 3 1/2 miles in 3/4 of an hour, how far can he jog in one hour?

Answer 1

3 1 / 2 = 3 + 1 / 2 = 3 + 2 / 4 = 12 / 4 + 2 / 4 = 14 / 4


( 14 / 4 ) / ( 3 / 4 ) = 14 ∙ 4 / ( 3 ∙ 4 ) = 14 / 3 =

( 12 + 2 ) / 3 = 12 / 3 + 2 / 3 = 4 + 2 / 3 = 4 2/3

OR

3 1/2 / ( 3 / 4 ) = x / 1

x = 3 1/2 / ( 3 / 4 )

x = ( 14 / 4 ) / ( 3 / 4 ) = 14 ∙ 4 / ( 3 ∙ 4 ) = 14 / 3 =

( 12 + 2 ) / 3 = 12 / 3 + 2 / 3 = 4 + 2 / 3 = 4 2/3

Answer 2

OR

1 h / ( 3 / 4 ) h = ( 4 / 4 ) / ( 3 / 4 ) = ( 4 ∙ 4 ) / ( 4 ∙ 3 ) = 4 / 3


( 4 / 3 ) ∙ 3 1 / 2 = ( 4 / 3 ) ∙ ( 14 / 4 ) = 4 ∙ 14 / ( 4 ∙ 3 ) = 14 / 3 =

( 12 + 2 ) / 3 = 12 / 3 + 2 / 3 = 4 + 2 / 3 = 4 2/3 mi