Question

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

Answer 1

Hello,

I)
$\dfrac{2}{5}=\dfrac{2*9*7}{5*9*7}=\dfrac{126}{315}$

$\dfrac{4}{9}=\dfrac{4*5*7}{315}=\dfrac{140}{315}$

$\dfrac{3}{7}=\dfrac{3*5*9}{315}=\dfrac{135}{315}$

or
$\dfrac{126}{315}\leq\dfrac{135}{315}\leq\dfrac{140}{315}$
thus
$\dfrac{2}{5}\leq\dfrac{3}{7}\leq\dfrac{4}{9}$

II)

$\dfrac{\dfrac{1}{2}+\dfrac{5}{6}}{2}=\dfrac{8}{6*2}=\dfrac{2}{3}$