# Word Problem involving conversion

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• Jul 14th 2006, 08:46 PM
malaygoel
Quote:

Originally Posted by Quick
Your method is strange but correct.

Thanks
Quote:

umm...why do you keep substituting different measurements into your equation. Why not just do ratios?

~ $\displaystyle Q\!u\!i\!c\!k$
Which is bigger--mile or meter? mile, of course.
Hence, $\displaystyle \frac{mile}{meter}=\frac{1609}{1}$

Keep Smiling
Malay
• Jul 15th 2006, 08:11 AM
Quick
Quote:

Originally Posted by malaygoel
Thanks

Which is bigger--mile or meter? mile, of course.
Hence, $\displaystyle \frac{mile}{meter}=\frac{1609}{1}$

Keep Smiling
Malay

In measurements, ratios are equal to 1,
an example: 1 mile = 1609 meters, therefore you write the ratio as $\displaystyle \frac{1mile}{1609meters}$ such as if I wanted to convert meters to miles I would do this...

$\displaystyle 1609m_e=1609m_e$

$\displaystyle 1609m_e\times1=1609m_e\times\frac{1m_i}{1609m_e}$

$\displaystyle 1609m_e=\frac{1609m_im_e}{1609m_e}$

$\displaystyle 1609m_e=\frac{ \not{1609}m_i\not{m_e}}{\not{1609} \not{m_e}}$

$\displaystyle 1609m_e=1m_i$

admitedly I can just substitute 1 mile for 1609 meters, but that is not what the way the person who asked this question wants.

~ $\displaystyle Q\!u\!i\!c\!k$
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