Convert light-second to mile

Learn how to convert 1 light-second to mile step by step.

Calculation Breakdown

Set up the equation

1.0 (l i g h t - s e c o n d) = x (m i l e)

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

(m e t e r)

Left side: 1.0 (l i g h t - s e c o n d) = 299792458.0 (m e t e r) = 299792458.0 (m)

Right side: 1.0 (m i l e) = 7532.0 (m e t e r) = 7532.0 (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g h t - s e c o n d) = x (m i l e)

Insert known values =>

1.0 \times 299792458.0 \times (m e t e r) = x \times 7532.0 \times (m e t e r)

Or

1.0 \cdot 299792458.0 \cdot (m) = x \cdot 7532.0 \cdot (m)

Cancel SI units

1.0 \times 299792458.0 \cdot (m) = x \times 7532.0 \times (m)

Conversion Equation

299792458.0 = x \times 7532.0

Switch sides

x \times 7532.0 = 299792458.0

Isolate

x

Multiply both sides by

(\frac{1.0}{7532.0})

x \times 7532.0 \times \frac{1.0}{7532.0} = 299792458.0 \times \frac{1.0}{7532.0}

Cancel

x \times 7532.0 \times \frac{1.0}{7532.0} = 299792458.0 \times \frac{1.0}{7532.0}

Simplify

x = \frac{299792458.0}{7532.0}

Solve

x

x \approx 39802.503717 \approx 3.9803 \times 10^{4}

Conversion Equation

1.0 (l i g h t - s e c o n d) \approx 3.9803 \times 10^{4} (m i l e)

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