Convert furlong / minute to mile / minute

Learn how to convert 1 furlong / minute to mile / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{f u r l o n g}{m i n u t e}) = x (\frac{m i l e}{m i n u t e})

Define the base values of the selected units in relation to the SI unit

(\frac{m e t e r}{s e c o n d})

Left side: 1.0 (\frac{f u r l o n g}{m i n u t e}) = \frac{201.168}{60.0} (\frac{m e t e r}{s e c o n d}) = \frac{201.168}{60.0} (\frac{m}{s})

Right side: 1.0 (\frac{m i l e}{m i n u t e}) = \frac{1609.344}{60.0} (\frac{m e t e r}{s e c o n d}) = \frac{1609.344}{60.0} (\frac{m}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{f u r l o n g}{m i n u t e}) = x (\frac{m i l e}{m i n u t e})

Insert known values =>

1.0 \times \frac{201.168}{60.0} \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{1609.344}{60.0} \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{201.168}{60.0} \cdot (\frac{m}{s}) = x \cdot \frac{1609.344}{60.0} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{201.168}{60.0} \cdot (\frac{m}{s}) = x \times \frac{1609.344}{60.0} \times (\frac{m}{s})

Conversion Equation

\frac{201.168}{60.0} = x \times \frac{1609.344}{60.0}

Cancel factors on both sides

Cancel factors

\frac{201.168}{60.0} = x \times \frac{1609.344}{60.0}

Simplify

201.168 = x \times 1609.344

Switch sides

x \times 1609.344 = 201.168

Isolate

x

Multiply both sides by

(\frac{1.0}{1609.344})

x \times 1609.344 \times \frac{1.0}{1609.344} = 201.168 \times \frac{1.0}{1609.344}

Cancel

x \times 1609.344 \times \frac{1.0}{1609.344} = 201.168 \times \frac{1.0}{1609.344}

Simplify

x = \frac{201.168}{1609.344}

Solve

x

x = 0.125 = 1.25 \times 10^{- 1}

Conversion Equation

1.0 (\frac{f u r l o n g}{m i n u t e}) = 1.25 \times 10^{- 1} (\frac{m i l e}{m i n u t e})

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