Convert pint to gallon

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

Calculation Breakdown

Set up the equation

1.0 (p i n t) = 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 (p i n t) = 5.6826125 \times 10^{- 4} (c u b i c m e t e r) = 5.6826125 \times 10^{- 4} (m^{3})

Right side: 1.0 (g a l l o n) = 4.621152048 \times 10^{- 3} (c u b i c m e t e r) = 4.621152048 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 5.6826125 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 4.621152048 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 5.6826125 \times 10^{- 4} \cdot (m^{3}) = x \cdot 4.621152048 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 5.6826125 \times 10^{- 4} \cdot (m^{3}) = x \times 4.621152048 \times 10^{- 3} \times (m^{3})

Conversion Equation

5.6826125 \times 10^{- 4} = x \times 4.621152048 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

5.6826125 \times {10^{- 4}}^{10^{- 1}} = x \times 4.621152048 \times 10^{- 3}

Simplify

5.6826125 \times 10^{- 1} = x \times 4.621152048

Switch sides

x \times 4.621152048 = 5.6826125 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.621152048})

x \times 4.621152048 \times \frac{1.0}{4.621152048} = 5.6826125 \times 10^{- 1} \times \frac{1.0}{4.621152048}

Cancel

x \times 4.621152048 \times \frac{1.0}{4.621152048} = 5.6826125 \times 10^{- 1} \times \frac{1.0}{4.621152048}

Simplify

x = \frac{5.6826125 \times 10^{- 1}}{4.621152048}

Solve

x

x \approx 0.1229696067 \approx 1.2297 \times 10^{- 1}

Conversion Equation

1.0 (p i n t) \approx 1.2297 \times 10^{- 1} (g a l l o n)

View All Examples