Convert perch to marathon

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

Calculation Breakdown

Set up the equation

1.0 (p e r c h) = 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 (p e r c h) = 5.0292 (m e t e r) = 5.0292 (m)

Right side: 1.0 (m a r a t h o n) = 3.675 \times 10^{4} (m e t e r) = 3.675 \times 10^{4} (m)

Insert known values into the conversion equation to determine

x

1.0 (p e r c h) = x (m a r a t h o n)

Insert known values =>

1.0 \times 5.0292 \times (m e t e r) = x \times 3.675 \times 10^{4} \times (m e t e r)

Or

1.0 \cdot 5.0292 \cdot (m) = x \cdot 3.675 \times 10^{4} \cdot (m)

Cancel SI units

1.0 \times 5.0292 \cdot (m) = x \times 3.675 \times 10^{4} \times (m)

Conversion Equation

5.0292 = x \times 3.675 \times 10^{4}

Switch sides

x \times 3.675 \times 10^{4} = 5.0292

Isolate

x

Multiply both sides by

(\frac{1.0}{3.675 \times 10^{4}})

x \times 3.675 \times 10^{4} \times \frac{1.0}{3.675 \times 10^{4}} = 5.0292 \times \frac{1.0}{3.675 \times 10^{4}}

Cancel

x \times 3.675 \times 10^{4} \times \frac{1.0}{3.675 \times 10^{4}} = 5.0292 \times \frac{1.0}{3.675 \times 10^{4}}

Simplify

x = \frac{5.0292}{3.675 \times 10^{4}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 4} \times 5.0292}{3.675}

Solve

x

x \approx 0.000136849 \approx 1.3685 \times 10^{- 4}

Conversion Equation

1.0 (p e r c h) \approx 1.3685 \times 10^{- 4} (m a r a t h o n)

View All Examples