Convert cup to gallon

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = 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 (c u p) = 2.273045 \times 10^{- 4} (c u b i c m e t e r) = 2.273045 \times 10^{- 4} (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 (c u p) = x (g a l l o n)

Insert known values =>

1.0 \times 2.273045 \times 10^{- 4} \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 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \cdot 4.54609 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \times 4.54609 \times 10^{- 3} \times (m^{3})

Conversion Equation

2.273045 \times 10^{- 4} = x \times 4.54609 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

2.273045 \times {10^{- 4}}^{10^{- 1}} = x \times 4.54609 \times 10^{- 3}

Simplify

2.273045 \times 10^{- 1} = x \times 4.54609

Switch sides

x \times 4.54609 = 2.273045 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.54609})

x \times 4.54609 \times \frac{1.0}{4.54609} = 2.273045 \times 10^{- 1} \times \frac{1.0}{4.54609}

Cancel

x \times 4.54609 \times \frac{1.0}{4.54609} = 2.273045 \times 10^{- 1} \times \frac{1.0}{4.54609}

Simplify

x = \frac{2.273045 \times 10^{- 1}}{4.54609}

Solve

x

x = 5 \times 10^{- 2}

Conversion Equation

1.0 (c u p) = 5 \times 10^{- 2} (g a l l o n)

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