Question

Are the ratios 8/12 and 10/25 proportional ? Explain. ( Note : this is not a multiple answer question)

Answer 1

if these ratios are proportional, then must be that:

\(\color{#000000 }{ \displaystyle \frac{8}{12}=\frac{10}{25} }\)

Answer 2

If I were to determine whether a/b and c/d
are proportional, then set:

\(\color{#000000 }{ \displaystyle \frac{a}{b}=\frac{c}{d} }\)

By cross multiplication

\(\color{#000000 }{ \displaystyle c\times b=a\times d }\)

and if that is true, then a/b and c/d are proportional, but if that is not true, then a/b and c/d are not proportional ratios.

Answer 3

Here's an example showing @SolomonZelman 's formulas


Question: are the two fractions 2/3 and 4/6 proportional? In other words, are they equal?


2/3 = 4/6

2*6 = 3*4 ... cross multiply

12 = 12 ... true


the last equation is true. Since each equation is equivalent to one another, this means that the first equation is true. So 2/3 and 4/6 are definitely the same fraction.