A) 18 : 6 ; 15 : 5
B) 12 : 3 ; 6 : 4
C) 30:5:40:10
D) 8: 2; 27: 9
Correct Answer: A
Solution :
\[24:8=\frac{24}{8}=\frac{3}{1}=3:1\] (a) \[\frac{\text{3}}{\text{1}}\text{=}\frac{\text{3 }\!\!\times\!\!\text{ 6}}{\text{1 }\!\!\times\!\!\text{ 6}}\text{=}\frac{\text{18}}{\text{6}}\text{=18:6;}\frac{\text{3}}{\text{1}}\text{=}\frac{\text{3 }\!\!\times\!\!\text{ 5}}{\text{1 }\!\!\times\!\!\text{ 5}}\text{=}\frac{\text{15}}{\text{5}}\text{=15:1;}\]true (b) \[\frac{3}{1}=\frac{3\times 4}{1\times 4}=\frac{12}{4}=12:4;\]false (c) \[\frac{3}{1}=\frac{3\times 10}{1\times 10}=\frac{30}{10}=30:10;\]false (d) \[\frac{3}{1}=\frac{3\times 9}{1\times 9}=\frac{27}{9}=27:9;\frac{8}{2}=\frac{4}{1}=4:1;\]false
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