SOLUTION: Do the ratios 2:4/5 and 3/4:2/10 form a proportion?

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Question 1153257: Do the ratios 2:4/5 and 3/4:2/10 form a proportion?


Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That means, asking if 2%2F%284%2F5%29=%283%2F4%29%2F%282%2F10%29 is true. The test is simple arithmetic of fractions. Enough or not?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

By the definition, a proportion is an equality of two ratios.


So, you calculate one ratio,  2%2F%28%284%2F5%29%29 = %282%2A5%29%2F4 = 10%2F4 = 5%2F2


and another ratio,  %28%283%2F4%29%29%2F%28%282%2F10%29%29 = %283%2A10%29%2F%284%2A2%29 = 30%2F8 = 15%2F4.


Then you compare these two ratio (expressed in simplest form), and what you see ?