#1**+2 **

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

#1**+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