Convert marathon to football field

Learn how to convert 1 marathon to football field step by step.

Calculation Breakdown

Set up the equation

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

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 o o t b a l l f i e l d) = 91.44 (m e t e r) = 91.44 (m)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.2195 \times 10^{4} \times (m e t e r) = x \times 91.44 \times (m e t e r)

Or

1.0 \cdot 4.2195 \times 10^{4} \cdot (m) = x \cdot 91.44 \cdot (m)

Cancel SI units

1.0 \times 4.2195 \times 10^{4} \cdot (m) = x \times 91.44 \times (m)

Conversion Equation

4.2195 \times 10^{4} = x \times 91.44

Switch sides

x \times 91.44 = 4.2195 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{1.0}{91.44})

x \times 91.44 \times \frac{1.0}{91.44} = 4.2195 \times 10^{4} \times \frac{1.0}{91.44}

Cancel

x \times 91.44 \times \frac{1.0}{91.44} = 4.2195 \times 10^{4} \times \frac{1.0}{91.44}

Simplify

x = \frac{4.2195 \times 10^{4}}{91.44}

Solve

x

x \approx 461.45013123 \approx 4.6145 \times 10^{2}

Conversion Equation

1.0 (m a r a t h o n) \approx 4.6145 \times 10^{2} (f o o t b a l l f i e l d)

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