Convert to(升) to gallon

Learn how to convert 1 to(升) to gallon step by step.

Calculation Breakdown

Set up the equation

1.0 (t o (升)) = x (g a l l o n)

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

(c u b i c m e t e r)

Left side: 1.0 (t o (升)) = \frac{2.401}{1.331 \times 10^{2}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{2}} (m^{3})

Right side: 1.0 (g a l l o n) = 4.54609 \times 10^{- 3} (c u b i c m e t e r) = 4.54609 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (t o (升)) = x (g a l l o n)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{2}} \times (c u b i c m e t e r) = x \times 4.54609 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3}) = x \cdot 4.54609 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3}) = x \times 4.54609 \times 10^{- 3} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{2}} = x \times 4.54609 \times 10^{- 3}

Switch sides

x \times 4.54609 \times 10^{- 3} = \frac{2.401}{1.331 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.54609 \times 10^{- 3}})

x \times 4.54609 \times 10^{- 3} \times \frac{1.0}{4.54609 \times 10^{- 3}} = \frac{2.401}{1.331 \times 10^{2}} \times \frac{1.0}{4.54609 \times 10^{- 3}}

Cancel

x \times 4.54609 \times 10^{- 3} \times \frac{1.0}{4.54609 \times 10^{- 3}} = \frac{2.401 \times 1.0}{1.331 \times 10^{2} \times 4.54609 \times {10^{- 3}}^{10^{- 1}}}

Simplify

x = \frac{2.401}{1.331 \times 4.54609 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 2.401}{1.331 \times 4.54609}

Solve

x

x \approx 3.9680403093 \approx 3.968

Conversion Equation

1.0 (t o (升)) \approx 3.968 (g a l l o n)

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