Convert marathon to fen(公分)

Learn how to convert 1 marathon to fen(公分) step by step.

Calculation Breakdown

Set up the equation

1.0 (m a r a t h o n) = x (f e n (公 分))

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

(m e t e r)

Left side: 1.0 (m a r a t h o n) = 4.2195 \times 10^{4} (m e t e r) = 4.2195 \times 10^{4} (m)

Right side: 1.0 (f e n (公 分)) = 10^{- 2} (m e t e r) = 10^{- 2} (m)

Insert known values into the conversion equation to determine

x

1.0 (m a r a t h o n) = x (f e n (公 分))

Insert known values =>

1.0 \times 4.2195 \times 10^{4} \times (m e t e r) = x \times 10^{- 2} \times (m e t e r)

Or

1.0 \cdot 4.2195 \times 10^{4} \cdot (m) = x \cdot 10^{- 2} \cdot (m)

Cancel SI units

1.0 \times 4.2195 \times 10^{4} \cdot (m) = x \times 10^{- 2} \times (m)

Conversion Equation

4.2195 \times 10^{4} = x \times 10^{- 2}

Switch sides

x \times 10^{- 2} = 4.2195 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 2}})

x \times 10^{- 2} \times \frac{1.0}{10^{- 2}} = 4.2195 \times 10^{4} \times \frac{1.0}{10^{- 2}}

Cancel

x \times 10^{- 2} \times \frac{1.0}{10^{- 2}} = 4.2195 \times 10^{4} \times \frac{1.0}{10^{- 2}}

Simplify

x = \frac{4.2195 \times 10^{4}}{10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = 10^{2} \times 4.2195 \times 10^{4}

Simplify

x = 10^{6} \times 4.2195

Solve

x

x = 4219500 = 4.2195 \times 10^{6}

Conversion Equation

1.0 (m a r a t h o n) = 4.2195 \times 10^{6} (f e n (公 分))

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