Convert gallon to gill

Learn how to convert 1 gallon to gill step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = x (g i l l)

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 (g a l l o n) = 4.5424941408 \times 10^{- 3} (c u b i c m e t e r) = 4.5424941408 \times 10^{- 3} (m^{3})

Right side: 1.0 (g i l l) = 1.1829411825 \times 10^{- 4} (c u b i c m e t e r) = 1.1829411825 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n) = x (g i l l)

Insert known values =>

1.0 \times 4.5424941408 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 1.1829411825 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 4.5424941408 \times 10^{- 3} \cdot (m^{3}) = x \cdot 1.1829411825 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 4.5424941408 \times 10^{- 3} \cdot (m^{3}) = x \times 1.1829411825 \times 10^{- 4} \times (m^{3})

Conversion Equation

4.5424941408 \times 10^{- 3} = x \times 1.1829411825 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

4.5424941408 \times 10^{- 3} = x \times 1.1829411825 \times {10^{- 4}}^{10^{- 1}}

Simplify

4.5424941408 = x \times 1.1829411825 \times 10^{- 1}

Switch sides

x \times 1.1829411825 \times 10^{- 1} = 4.5424941408

Isolate

x

Multiply both sides by

(\frac{1.0}{1.1829411825 \times 10^{- 1}})

x \times 1.1829411825 \times 10^{- 1} \times \frac{1.0}{1.1829411825 \times 10^{- 1}} = 4.5424941408 \times \frac{1.0}{1.1829411825 \times 10^{- 1}}

Cancel

x \times 1.1829411825 \times 10^{- 1} \times \frac{1.0}{1.1829411825 \times 10^{- 1}} = 4.5424941408 \times \frac{1.0}{1.1829411825 \times 10^{- 1}}

Simplify

x = \frac{4.5424941408}{1.1829411825 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 4.5424941408}{1.1829411825}

Solve

x

x = 38.4

Conversion Equation

1.0 (g a l l o n) = 38.4 (g i l l)

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