How do you know if the ratios 4/2 and 20/6 forms a proportion?

Mar 2, 2018

There are 2 ways to do this problem. Both ways state that $\frac{4}{2} \ne \frac{20}{6}$. They are not in proportion.

Explanation:

There are two ways to do it:

1) Division

You could divide the numerator by the denominator of each fraction to see if they are equal/in proportion or not:

$\frac{4}{2} = 2$

$\frac{20}{6} \approx 3.33$

Thus, they do not form a proportion.

2) LCM of Denominator

You could take both the denominators to one value, and see if the numerators of the fractions are the same:

$\frac{4}{2}$ will become $\frac{4 \cdot 3}{2 \cdot 3}$

$= \frac{12}{6}$

Now, both the fractions have the same denominator, but the numerators are not the same number:

$\frac{12}{6} \ne \frac{20}{6}$

Thus, they do not form a proportion.