How do you know if the pair 4/3 and 8/6 form a proportion?

1 Answer
Jun 6, 2017

Answer:

If you divide one into the other and the answer is 1 then they are of the same ratio.

Explanation:

Write in faction format #" "4/3"; "8/6#

#color(blue)("The test process")#

#4/3-:8/6#

#color(green)(4/3xxcolor(red)(6/8)" "=" "(4xxcolor(red)(6))/(3xxcolor(red)(8))" "=" "(color(red)(6)xx4)/(3xxcolor(red)(8)))#

#" "=" "color(green)((color(red)(6))/3xx4/(color(red)(8))" "=" "2xx1/2 #

#" "=" "1#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("A different test")#

Multiply by 1 and you do not change the value. However, 1 comes in many forms. So you can change the way a proportion or fraction looks without changing its actual value.

#color(green)(4/3color(red)(xx1) " "=" "4/3color(red)(xx2/2)" "=" "8/6#

Thus it is true that #4/3-=8/6#

Where #-=# means 'proportional to'