Do the ratios in each pair form a proportion?

Question

1) 1/3:3, 1/4:4

 

2) 2/3:2/9, 1/4:1/12

 

3) 4/5:1/2, 2/3:1/4

Answer 1

Strange format, questions are awkwardly worded.

Only CommonCore can explain how these have arrived in a classroom.

 

1)  Does (1/3) / 3 = (1/4) / 4  ?    No because left side equals 1/9 and right side equals 1/16.

 

2)  Does (2/3 / (2/9) = (1/4) / (1/12) ?

Left side equals (2/3)(9/2) = 3; right side also equals 3, namely 12/4, so YES.

 

I leave the answer to # 3 to YOU.