Respuesta :

Answer:

So [tex]\frac{4}{13}[/tex]  >  [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

the rational numbers are [tex]\frac{4}{13}[/tex] and [tex]\frac{3}{10}[/tex]

Here denominators are not same . First convert these unlike fraction in to like fraction.

first find the LCM of 13 and 10 = 130

[tex]\frac{4}{13}[/tex] = ( [tex]\frac{4}{13}[/tex] )×( [tex]\frac{10}{10}[/tex])

                                 = [tex]\frac{40}{130}[/tex]

[tex]\frac{3}{10}[/tex] = ( [tex]\frac{3}{10}[/tex]) × ( [tex]\frac{13}{13}[/tex])

                                  = [tex]\frac{39}{130}[/tex]

Here now both fractions are like fraction.

             [tex]\frac{40}{130}[/tex]  > [tex]\frac{39}{130}[/tex]

So [tex]\frac{4}{13}[/tex]  >  [tex]\frac{3}{10}[/tex]

There are only one number beteen these two rational numbers