Question

Which of tje following proportion are true16/28=12/216/16=4/1430/40=24/3510/15=45/30

Answer 1

Notice that:

1)

`(16)/(28)=(4\cdot4)/(7\cdot4)=(4)/(7)=(4\cdot3)/(7\cdot3)=(12)/(21)\text{.}`

2)

`(6)/(16)=(2\cdot3)/(2\cdot8)=(3)/(8)\\e(2)/(7)=(2\cdot2)/(2\cdot7)=(4)/(14)\text{.}`

3)

`(30)/(40)=(10\cdot3)/(10\cdot4)=(3)/(4)\\e(2)/(3)=(12\cdot2)/(12\cdot3)=(24)/(36).`

4)

`(10)/(15)=(5\cdot2)/(5\cdot3)=(2)/(3)\\e(9)/(10)=(5\cdot9)/(5\cdot10)=(45)/(50).`

Answer: The only proportion that is true is the first one.