Respuesta :
Solution :
We have to find the largest fraction in each group.
a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]
[tex]$\frac{5}{6}$[/tex] → when we divide the number 5 with 6, we get 0.833
[tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805
Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.
b). [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]
[tex]$\frac{5}{12}$[/tex] → when we divide the number 5 with 12, we get 0.416
[tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375
Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.
c). [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]
[tex]$\frac{2}{5}$[/tex] → when we divide the number 2 with 5, we get 0.40
[tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42
Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.
d). [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and [tex]$\frac{19}{21}$[/tex]
[tex]$\frac{5}{7}$[/tex] → when we divide the number 5 with 7, we get 0.714
[tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928
[tex]$\frac{19}{21}$[/tex] → when we divide 19 by 21, we get the value 0.904
Therefore, in this group, [tex]$\frac{13}{14}$[/tex] is the largest fraction.
