Question

(1)Arrange the list of numbers in increasing order.

2/5 , 4/9 , 3/7

(2)Which number is halfway between 1/2 and 5/6?
A.7/10
B.13/20
C.27/40
D.2/3

Answer 1

Hello,

I)

`(2)/(5)=(2*9*7)/(5*9*7)=(126)/(315)`


`(4)/(9)=(4*5*7)/(315)=(140)/(315)`


`(3)/(7)=(3*5*9)/(315)=(135)/(315)`

or

`(126)/(315)\leq(135)/(315)\leq(140)/(315)`
thus

`(2)/(5)\leq(3)/(7)\leq(4)/(9)`

II)


`((1)/(2)+(5)/(6))/(2)=(8)/(6*2)=(2)/(3)`