1. ## Ratios

What is the best way to calculate ratio of two numbers? Particularly numbers which don't divide easily into each other and without the use of a calculator. Ex:

What is the ratio of 465.96 and 931.92?

Thanks

BIOS

2. $\displaystyle\frac{465.96}{931.92}*\frac{100}{100} =\frac{46596}{93192}$

Now simplify.

It appears to be $\displaystyle\approx\frac{1}{2}$

3. if nominator and denominator both as same decimal point you can multiple them by 100 or 1000 to get rid of the decimals and than divide.

debjagan
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4. After getting rid of the decimal, if you want to reduce the resulting fraction, then find the prime factorizations of the numerator and denominator and cancel any common prime factors.

5. Thanks for the replies. Is it a case that to get the ratio you then make a further division:

Step 1)

$\displaystyle\frac{465.96}{931.92}*\frac{100}{100} =\frac{46596}{93192}=0.5$

Step 2)

$\displaystyle\frac{1}{0.5}=2$

ans= 1:2

Is that the full method? Is there any variation in that?

6. Originally Posted by BIOS
Thanks for the replies. Is it a case that to get the ratio you then make a further division:

Step 1)

$\displaystyle\frac{465.96}{931.92}*\frac{100}{100} =\frac{46596}{93192}=0.5$

Step 2)

$\displaystyle\frac{1}{0.5}=2$

ans= 1:2

Is that the full method? Is there any variation in that?
$\displaystyle\frac{46596}{93192}=\frac{40000+6500+ 90+6}{80000+13000+180+12}$

All values in the numerator are half those in the denominator.

Ratio is 1:2