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# If a conversion is as follows: 2 m/hr = mi/min. Does the 2 go with both the numerator and denominator or just the numerator?

I would like to know If the 2 is with the numerator only or both the numerator and denominator.  The 2 is placed directly center before the first ratio.

It goes with the numerator

Thank you very much.

12/4/2012

Unit conversion

unit conversion is very simple. Only you have to know is about the relation between the units.

If you try to convert 2km/h to mil/min then you have to know the relationship between km and mile.

1 km = 0.625 mile      ( 1 mile = 1.6 km)

1 hour = 60 minute

Now, let's convert unit.

2 km/h =  2 times km  divided by hour

= (2 km )/ h

= (2) (1km) / (1h)  *** the unit "km"  represents 1km and unit "h" represents 1h : this is core concept of unit conversion ***

you know the relationship between the units, therefore you just plug in the previous unit to the  wanted unit.

= (2) (0.625 mile) / (60 min)  ; rearrange the numbers and units.

= [ (2 x 0.625 )/ 60 ] ( mil/min )

= 0.02 mil/min

All the other unit conversions are using the same principle. If you practice several unit conversion with this method you will get used to this method.

Sung, you made a mistake with your units, you have it the wrong way around - 1 mile = 1.6 km.

12/5/2012

Hi Daniel

You are quite right. I bit hurry to type in. I will fix that.

12/5/2012

To add a little explanation to the previous answer, the fraction bar between the 'm' and the 'hr' acts as a set of parentheses, so when you see m/hr, you are can read it as (m/hr).  And when you have a number outside a set of parentheses, it is understood to multiply the whole contents of the parentheses.  For example:

3 ( 7 + 4 ) means 3 times 11.

And 3 (1/2) means 3 times a half, not 3/6 which would still be 1/2.

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