Convert mile to astronomical unit

Learn how to convert 1 mile to astronomical unit step by step.

Calculation Breakdown

Set up the equation

1.0 (m i l e) = x (a s t r o n o m i c a l u n i t)

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) = 1828.8 (m e t e r) = 1828.8 (m)

Right side: 1.0 (a s t r o n o m i c a l u n i t) = 149597870691.0 (m e t e r) = 149597870691.0 (m)

Insert known values into the conversion equation to determine

x

1.0 (m i l e) = x (a s t r o n o m i c a l u n i t)

Insert known values =>

1.0 \times 1828.8 \times (m e t e r) = x \times 149597870691.0 \times (m e t e r)

Or

1.0 \cdot 1828.8 \cdot (m) = x \cdot 149597870691.0 \cdot (m)

Cancel SI units

1.0 \times 1828.8 \cdot (m) = x \times 149597870691.0 \times (m)

Conversion Equation

1828.8 = x \times 149597870691.0

Switch sides

x \times 149597870691.0 = 1828.8

Isolate

x

Multiply both sides by

(\frac{1.0}{149597870691.0})

x \times 149597870691.0 \times \frac{1.0}{149597870691.0} = 1828.8 \times \frac{1.0}{149597870691.0}

Cancel

x \times 149597870691.0 \times \frac{1.0}{149597870691.0} = 1828.8 \times \frac{1.0}{149597870691.0}

Simplify

x = \frac{1828.8}{149597870691.0}

Solve

x

x \approx 0.0000000122 \approx 1.2225 \times 10^{- 8}

Conversion Equation

1.0 (m i l e) \approx 1.2225 \times 10^{- 8} (a s t r o n o m i c a l u n i t)

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