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25 mm wide x 40 mm length what's that in inches?

Guest Jul 28, 2017

Best Answer 

 #1
avatar+1493 
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To convert from millimeters to inches in 2 dimensions, you must convert both the width and length before multiplying. I happen to only know this conversion from memorization:

 

\(1in=0.0254m\)

 

Of course, we want to go from millimeters to inches, so I must change the meters to millimeters. That is relatively simple:
 

\(\frac{1000mm}{1m}=\frac{xmm}{0.0254m}\) Using this proportion, we can figure out how many millimeters are in 0.0254 meters. 
\(x=0.0254*1000=25.4mm\)  
   

 

Ok, so now we know information that is a tad more useful than before.

 

\(1in=25.4mm\)

 

Using this knowledge, we can now convert both dimensions: 25mm and 40mm.

 

\(\frac{1in}{25.4mm}=\frac{xin}{25mm}\) Cross multiply to solve this proportion for x.
\(25=25.4x\) Divide by 25.4 on both sides.
\(x=\frac{25}{25.4}*\frac{10}{10}\) I, personally, do not like seeing decimals in fractions, so I am manipulating the fraction such that one exist.
\(x=\frac{250}{254}=\frac{125}{127}in\) For now, I will leave the fraction in this form/
   

 

Now I will convert 40mm into inches:

 

\(\frac{1in}{25.4mm}=\frac{yin}{40mm}\) Cross multiply to solve this proportion for y. I changed the variable so that it would not be confusing.
\(40=25.4y\) Divide by 25.4 on both sides.
\(y=\frac{40}{25.4}*\frac{10}{10}\) Yet again, I am getting decimals out of the fraction.
\(y=\frac{400}{254}=\frac{200}{127}in\)  
   

 

Ok, now multiply both of these fractions together.

 

\(\frac{125}{127}*\frac{200}{127}=\frac{25000}{16129}in^2\)

 

Unfortunately, this fraction is irreducible

 

\(\frac{25000}{16129}in^2\approx1.5500in^2\)

TheXSquaredFactor  Jul 29, 2017
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1+0 Answers

 #1
avatar+1493 
+2
Best Answer

To convert from millimeters to inches in 2 dimensions, you must convert both the width and length before multiplying. I happen to only know this conversion from memorization:

 

\(1in=0.0254m\)

 

Of course, we want to go from millimeters to inches, so I must change the meters to millimeters. That is relatively simple:
 

\(\frac{1000mm}{1m}=\frac{xmm}{0.0254m}\) Using this proportion, we can figure out how many millimeters are in 0.0254 meters. 
\(x=0.0254*1000=25.4mm\)  
   

 

Ok, so now we know information that is a tad more useful than before.

 

\(1in=25.4mm\)

 

Using this knowledge, we can now convert both dimensions: 25mm and 40mm.

 

\(\frac{1in}{25.4mm}=\frac{xin}{25mm}\) Cross multiply to solve this proportion for x.
\(25=25.4x\) Divide by 25.4 on both sides.
\(x=\frac{25}{25.4}*\frac{10}{10}\) I, personally, do not like seeing decimals in fractions, so I am manipulating the fraction such that one exist.
\(x=\frac{250}{254}=\frac{125}{127}in\) For now, I will leave the fraction in this form/
   

 

Now I will convert 40mm into inches:

 

\(\frac{1in}{25.4mm}=\frac{yin}{40mm}\) Cross multiply to solve this proportion for y. I changed the variable so that it would not be confusing.
\(40=25.4y\) Divide by 25.4 on both sides.
\(y=\frac{40}{25.4}*\frac{10}{10}\) Yet again, I am getting decimals out of the fraction.
\(y=\frac{400}{254}=\frac{200}{127}in\)  
   

 

Ok, now multiply both of these fractions together.

 

\(\frac{125}{127}*\frac{200}{127}=\frac{25000}{16129}in^2\)

 

Unfortunately, this fraction is irreducible

 

\(\frac{25000}{16129}in^2\approx1.5500in^2\)

TheXSquaredFactor  Jul 29, 2017

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