Step [tex] 1 [/tex]
Find the irreducible fraction in each ratio
case 1) [tex] \frac{40}{64}[/tex]
Divide by [tex] 8 [/tex] boths numerator and denominator
[tex] \frac{40}{64}=\frac{5}{8}[/tex]
case 2) [tex] \frac{5}{75}[/tex]
Divide by [tex] 5 [/tex] boths numerator and denominator
[tex] \frac{5}{75}=\frac{1}{15}[/tex]
case 3) [tex] \frac{14}{35}[/tex]
Divide by [tex] 7 [/tex] boths numerator and denominator
[tex] \frac{14}{35}=\frac{2}{5}[/tex]
case 4) [tex] \frac{24}{64}[/tex]
Divide by [tex] 8 [/tex] boths numerator and denominator
[tex] \frac{24}{64}=\frac{3}{8}[/tex]
case 5) [tex] \frac{6}{15}[/tex]
Divide by [tex] 3 [/tex] boths numerator and denominator
[tex] \frac{6}{15}=\frac{2}{5}[/tex]
case 6) [tex] \frac{65}{104}[/tex]
Divide by [tex] 13 [/tex] boths numerator and denominator
[tex] \frac{65}{104}=\frac{5}{8}[/tex]
case 7) [tex] \frac{66}{176}[/tex]
Divide by [tex] 22 [/tex] boths numerator and denominator
[tex] \frac{66}{176}=\frac{3}{8}[/tex]
case 8) [tex] \frac{12}{30}[/tex]
Divide by [tex] 6 [/tex] boths numerator and denominator
[tex] \frac{12}{30}=\frac{2}{5}[/tex]
case 9) [tex] \frac{15}{225}[/tex]
Divide by [tex] 15 [/tex] boths numerator and denominator
[tex] \frac{15}{225}=\frac{1}{15}[/tex]
case 10) [tex] \frac{6}{16}[/tex]
Divide by [tex] 2 [/tex] boths numerator and denominator
[tex] \frac{6}{16}=\frac{3}{8}[/tex]
case 11) [tex] \frac{15}{24}[/tex]
Divide by [tex] 3 [/tex] boths numerator and denominator
[tex] \frac{15}{24}=\frac{5}{8}[/tex]
case 12) [tex] \frac{48}{128}[/tex]
Divide by [tex] 16 [/tex] boths numerator and denominator
[tex] \frac{48}{128}=\frac{3}{8}[/tex]
Step [tex] 2 [/tex]
Sort the ratios into bins
1) First Bin
[tex] Ratio=\frac{5}{8} [/tex]
[tex] \frac{40}{64}[/tex]
[tex] \frac{65}{104}[/tex]
[tex] \frac{15}{24}[/tex]
2) Second Bin
[tex] Ratio=\frac{1}{15} [/tex]
[tex] \frac{5}{75}[/tex]
[tex] \frac{15}{225}[/tex]
3) Third Bin
[tex] Ratio=\frac{2}{5} [/tex]
[tex] \frac{14}{35}[/tex]
[tex] \frac{6}{15}[/tex]
[tex] \frac{12}{30}[/tex]
4) Fourth Bin
[tex] Ratio=\frac{3}{8} [/tex]
[tex] \frac{24}{64}[/tex]
[tex] \frac{66}{176}[/tex]
[tex] \frac{6}{16}[/tex]
[tex] \frac{48}{128}[/tex]
