Convert ri(里) to light-year

Learn how to convert 1 ri(里) to light-year step by step.

Calculation Breakdown

Set up the equation

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

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

(m e t e r)

Left side: 1.0 (r i (里)) = \frac{4.32 \times 10^{4}}{11.0} (m e t e r) = \frac{4.32 \times 10^{4}}{11.0} (m)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{4.32 \times 10^{4}}{11.0} \times (m e t e r) = x \times 9.4607304725808 \times 10^{15} \times (m e t e r)

Or

1.0 \cdot \frac{4.32 \times 10^{4}}{11.0} \cdot (m) = x \cdot 9.4607304725808 \times 10^{15} \cdot (m)

Cancel SI units

1.0 \times \frac{4.32 \times 10^{4}}{11.0} \cdot (m) = x \times 9.4607304725808 \times 10^{15} \times (m)

Conversion Equation

\frac{4.32 \times 10^{4}}{11.0} = x \times 9.4607304725808 \times 10^{15}

Cancel factors on both sides

Cancel factors

\frac{4.32 \times 10^{4}}{11.0} = x \times 9.4607304725808 \times {10^{15}}^{10^{11}}

Simplify

\frac{4.32}{11.0} = x \times 9.4607304725808 \times 10^{11}

Switch sides

x \times 9.4607304725808 \times 10^{11} = \frac{4.32}{11.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.4607304725808 \times 10^{11}})

x \times 9.4607304725808 \times 10^{11} \times \frac{1.0}{9.4607304725808 \times 10^{11}} = \frac{4.32}{11.0} \times \frac{1.0}{9.4607304725808 \times 10^{11}}

Cancel

x \times 9.4607304725808 \times 10^{11} \times \frac{1.0}{9.4607304725808 \times 10^{11}} = \frac{4.32 \times 1.0}{11.0 \times 9.4607304725808 \times 10^{11}}

Simplify

x = \frac{4.32}{11.0 \times 9.4607304725808 \times 10^{11}}

Rewrite equation

\frac{1.0}{10^{11}} can be rewritten to 10^{- 11}

Rewrite

x = \frac{10^{- 11} \times 4.32}{11.0 \times 9.4607304725808}

Solve

x

x \approx 4.1511305482 \times 10^{- 13} \approx 4.1511 \times 10^{- 13}

Conversion Equation

1.0 (r i (里)) \approx 4.1511 \times 10^{- 13} (l i g h t - y e a r)

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