Question

Explain how you can determine whether or not the ratios 4/2 and 8/6 and form a proportion.

Answer 1

Answer:

Not proportional.

Step-by-step explanation:

Given ratios:

$\frac{4}{2}, \frac{8}{6}$

To tell whether the ratios are proportional or not.

Solution:

In order to tell whether the given ratios are proportional or not, we will reduce the fractions to the simplest numbers by dividing the numerator and denominator by their greatest common factor and then comparing them. If they are equal then the ratios are proportional else not proportional.

So, the simplest form of $\frac{4}{2}$ can be calculated by dividing both by 2 as it is the G.C.F.

$\frac{4}{2}=\frac{4\div2}{2\div 2}=\frac{2}{1}$

the simplest form of $\frac{8}{6}$ can be calculated by dividing both by 2 as it is the G.C.F.

$\frac{8}{6}=\frac{8\div2}{6\div 2}=\frac{4}{3}$

Now, since $\frac{2}{1}\neq \frac{4}{3}$, hence the ratios are not proportional.