Problems:
Determine whether each equation is a proportion or not. Write P for proportion and NP for not proportion.
6. 3:4= 6:8
7. 5:8=2:3
8. 4/7=12/21
9. 4/12=2/9
10. 12/15=8/10
Solutions:
6.
[tex] \red{ \frac{3}{4} = \frac{6}{8} }[/tex]
[tex] = \frac{3 \times 8}{4 \times 6} [/tex]
[tex] = \frac{24}{24} [/tex]
[tex] \blue{ = \underline{1}}[/tex]
7.
[tex] \red{ \frac{5}{8} = \frac{2}{3} }[/tex]
[tex] = \frac{5 \times 3}{8 \times 2} [/tex]
[tex] \purple{ = \frac{15}{16} }[/tex]
8.
[tex] \red{ \frac{4}{7} = \frac{12}{21} }[/tex]
[tex] = \frac{4 \times 21}{7 \times 12} [/tex]
[tex] = \frac{84}{84} [/tex]
[tex] \blue{ = \underline{1}}[/tex]
9.
[tex] \red{ \frac{4}{12} = \frac{2}{9} }[/tex]
[tex] = \frac{4 \times 9}{12 \times 2} [/tex]
[tex] \purple{ = \frac{36}{24} }[/tex]
10.
[tex] \red{ \frac{12}{15} = \frac{8}{10} }[/tex]
[tex] = \frac{12 \times 10}{15 \times 8} [/tex]
[tex] = \frac{120}{120} [/tex]
[tex] \blue{ = \underline{1}}[/tex]
Answers:
6. P
7. NP
8. P
9. NP
10. P
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