Convert gallon to quart

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

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = x (q u a r t)

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 (q u a r t) = 1.1365225 \times 10^{- 3} (c u b i c m e t e r) = 1.1365225 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n) = x (q u a r t)

Insert known values =>

1.0 \times 4.5424941408 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 1.1365225 \times 10^{- 3} \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 1.1365225 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 4.5424941408 \times 10^{- 3} \cdot (m^{3}) = x \times 1.1365225 \times 10^{- 3} \times (m^{3})

Conversion Equation

4.5424941408 \times 10^{- 3} = x \times 1.1365225 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

4.5424941408 \times 10^{- 3} = x \times 1.1365225 \times 10^{- 3}

Simplify

4.5424941408 = x \times 1.1365225

Switch sides

x \times 1.1365225 = 4.5424941408

Isolate

x

Multiply both sides by

(\frac{1.0}{1.1365225})

x \times 1.1365225 \times \frac{1.0}{1.1365225} = 4.5424941408 \times \frac{1.0}{1.1365225}

Cancel

x \times 1.1365225 \times \frac{1.0}{1.1365225} = 4.5424941408 \times \frac{1.0}{1.1365225}

Simplify

x = \frac{4.5424941408}{1.1365225}

Solve

x

x \approx 3.9968360862 \approx 3.9968

Conversion Equation

1.0 (g a l l o n) \approx 3.9968 (q u a r t)

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