Answer:
1. [tex]\frac{1}{3}[/tex]
[tex]\frac{3}{6} ,\frac{27}{54}[/tex]
Extremes: (3)(54) = 162
Means: (6) (27) = 162
They are proportional.
[tex]\frac{1}{3}[/tex] is the lowest term.
2. [tex]\frac{2}{3}[/tex]
[tex]\frac{4}{6}, \frac{18}{27}[/tex]
Extremes: 4(27) = 108
Means: 6(18) = 108
They are proportional.
[tex]\frac{2}{3}[/tex] is the lowest term.
3. [tex]\frac{1}{2}[/tex]
[tex]\frac{17}{34} , \frac{1}{2}[/tex]
Extremes: 17 (2) = 34
Means: 34 (1) = 34
They are proportional.
[tex]\frac{1}{2}[/tex] is the lowest term.
4.NE
[tex]\frac{15}{45} ,\frac{25}{95}, \frac{5}{25}[/tex]
Extremes: 15(95) = 1425
Means: 45(25) = 1125
Not proportional
5. [tex]\frac{1}{3}[/tex]
[tex]\frac{4}{12} ,\frac{5}{15} ,\frac{9}{27}[/tex]
Extremes: 4(15) = 60
Means: 12(5) = 60
Extremes(2): 5(27) = 135
Means(2): 15(9) = 135
Extremes(3): 4(27) = 108
Means(3): 12(9) = 108
They are proportional.
[tex]\frac{1}{3}[/tex] is the lowest term.
Explanation:
Multiplying the means, and multiplying the extremes and if they are equal then they are equivalent or proportional.
