How do you simplify to tell whether the ratios $\frac{3}{5}, \frac{5}{3}$ $3/5, 5/3$ form a proportion?

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Answer 1 · 2018-03-01T19:22:14

They are not in direct proportion.

A proportion is a statement that two ratios are equal.

Fractions can be written as ratios.

Is $3 : 5 = 5 : 3$ $3 : 5 = 5 :3$ ??

It should be obvious that these are not equal.

In a direct proportion, as one quantity increases, the other decreases.

$3$ $3$ does not compare with $5$ $5$ in the same way as $5$ $5$ compares with $3$ $3$ .

The fractions $\frac{3}{5} and \frac{5}{3}$ $3/5 and 5/3$ are also not equal
One is a proper fraction and the other is an improper fraction.

How do you simplify to tell whether the ratios 3/5, 5/335,533/5, 5/3 form a proportion?