[tex]\huge\red{Question}[/tex]

Insert a rational number between 2/9 and 3/8,and arrange in descending order​

2 thoughts on “[tex]\huge\red{Question}[/tex]<br /><br />Insert a rational number between 2/9 and 3/8,and arrange in descending order​”

1. First we have to find the LCM of denominators

   LCM of 9 and 8 = 72

   [tex] \frac{2}{9} = \frac{2 \times 8}{9 \times 8} = \frac{16}{72} \\ \frac{3}{8} = \frac{3 \times 9}{8 \times 9} = \frac{27}{72} [/tex]

   Now there are more than one rational number between 16 and 27 you can write any one so

   [tex] \frac{27}{72} > \frac{20}{72} > \frac{16}{72} \\ [/tex]

   It is in descending order.

   You said for only one, but you can write more than one.

   hope it helps.

   Reply

2. [tex]\huge\mathfrak\red{Question}[/tex]

   Insert a rational number between 2/9 and 3/8,and arrange in descending order​

   [tex]\huge\mathfrak\green{Answer}[/tex]

   Take LCM of 8 and 9 and make their denominators same.

   2/9 = 16/72

   3/8 = 27/72

   All numbers,

   17/72, 18/72, 19/72, 20/72..

   26/72 are in between the two numbers.

   Reply