How to simplify the ratio 8.44:29.2?

Question

I have tried 29.2/8.44 and tried multiplying this to get whole numbers but doesn't seem like it's working

Answer 1

Multiply both by $100$ to get $844:2920$.

Then divide by the greatest common divisor. I'm too lazy to figure out what the greatest common divisor so I'll just divide both sides by $4$ and then keep dividing until I can't any more.

Divide both sides by $4$

$211:730$

Well... can I divide any further? $730 = 2*5*73$ and $211$ seems to be prime. At any rate it isn't divisible by $2,5$ or $73$ so that's as for as we can divide.

Now, in hindsight we multiplied by $100$ and divided by $4$. So that is the same as if we just multiplied by $25$ from the start.

Answer 2

$844:2920$ divided by $4 = 211:730$.

$211$ is a prime number so it won't reduce further.