Convert light-year to mile

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

Calculation Breakdown

Set up the equation

1.0 (l i g h t - y e a r) = 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 - y e a r) = 9.4607304725808 \times 10^{15} (m e t e r) = 9.4607304725808 \times 10^{15} (m)

Right side: 1.0 (m i l e) = 1853.184 (m e t e r) = 1853.184 (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g h t - y e a r) = x (m i l e)

Insert known values =>

1.0 \times 9.4607304725808 \times 10^{15} \times (m e t e r) = x \times 1853.184 \times (m e t e r)

Or

1.0 \cdot 9.4607304725808 \times 10^{15} \cdot (m) = x \cdot 1853.184 \cdot (m)

Cancel SI units

1.0 \times 9.4607304725808 \times 10^{15} \cdot (m) = x \times 1853.184 \times (m)

Conversion Equation

9.4607304725808 \times 10^{15} = x \times 1853.184

Switch sides

x \times 1853.184 = 9.4607304725808 \times 10^{15}

Isolate

x

Multiply both sides by

(\frac{1.0}{1853.184})

x \times 1853.184 \times \frac{1.0}{1853.184} = 9.4607304725808 \times 10^{15} \times \frac{1.0}{1853.184}

Cancel

x \times 1853.184 \times \frac{1.0}{1853.184} = 9.4607304725808 \times 10^{15} \times \frac{1.0}{1853.184}

Simplify

x = \frac{9.4607304725808 \times 10^{15}}{1853.184}

Solve

x

x \approx 5.1051220346 \times 10^{12} \approx 5.1051 \times 10^{12}

Conversion Equation

1.0 (l i g h t - y e a r) \approx 5.1051 \times 10^{12} (m i l e)

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