Convert mile to marathon

Learn how to convert 1 mile to marathon step by step.

Calculation Breakdown

Set up the equation

1.0 (m i l e) = x (m a r a t h o n)

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

(m e t e r)

Left side: 1.0 (m i l e) = 1852.0 (m e t e r) = 1852.0 (m)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (m i l e) = x (m a r a t h o n)

Insert known values =>

1.0 \times 1852.0 \times (m e t e r) = x \times 4.2195 \times 10^{4} \times (m e t e r)

Or

1.0 \cdot 1852.0 \cdot (m) = x \cdot 4.2195 \times 10^{4} \cdot (m)

Cancel SI units

1.0 \times 1852.0 \cdot (m) = x \times 4.2195 \times 10^{4} \times (m)

Conversion Equation

1852.0 = x \times 4.2195 \times 10^{4}

Switch sides

x \times 4.2195 \times 10^{4} = 1852.0

Isolate

x

Multiply both sides by

(\frac{1.0}{4.2195 \times 10^{4}})

x \times 4.2195 \times 10^{4} \times \frac{1.0}{4.2195 \times 10^{4}} = 1852.0 \times \frac{1.0}{4.2195 \times 10^{4}}

Cancel

x \times 4.2195 \times 10^{4} \times \frac{1.0}{4.2195 \times 10^{4}} = 1852.0 \times \frac{1.0}{4.2195 \times 10^{4}}

Simplify

x = \frac{1852.0}{4.2195 \times 10^{4}}

Rewrite equation

\frac{1.0}{10^{4}} can be rewritten to 10^{- 4}

Rewrite

x = \frac{10^{- 4} \times 1852.0}{4.2195}

Solve

x

x \approx 0.0438914563 \approx 4.3891 \times 10^{- 2}

Conversion Equation

1.0 (m i l e) \approx 4.3891 \times 10^{- 2} (m a r a t h o n)

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