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

chloe loughan
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  • Like, $$\frac{\frac{292}{10}}{\frac{844}{100}}\quad?$$ –  Oct 03 '18 at 18:33
  • If you want a simple appriximation it's not far from $0.3$, so $3:10$.. – Ethan Bolker Oct 03 '18 at 18:40
  • wouldn't the ratio $8.44$ to $29.2$ be $\frac {8.44}{29.2}$ and not $\frac {29.2}{8.44}$? Well, in either case you simple "shift the decimals" so $\frac {8.44}{29.2} = \frac {84.4}{292} = \frac {844}{2920}$ – fleablood Oct 03 '18 at 18:48

2 Answers2

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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.

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

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

Phil H
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