Convert dram to gallon

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

Calculation Breakdown

Set up the equation

1.0 (d r a m) = 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 (d r a m) = 3.5516328125 \times 10^{- 6} (c u b i c m e t e r) = 3.5516328125 \times 10^{- 6} (m^{3})

Right side: 1.0 (g a l l o n) = 3.785411784 \times 10^{- 3} (c u b i c m e t e r) = 3.785411784 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d r a m) = x (g a l l o n)

Insert known values =>

1.0 \times 3.5516328125 \times 10^{- 6} \times (c u b i c m e t e r) = x \times 3.785411784 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 3.5516328125 \times 10^{- 6} \cdot (m^{3}) = x \cdot 3.785411784 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 3.5516328125 \times 10^{- 6} \cdot (m^{3}) = x \times 3.785411784 \times 10^{- 3} \times (m^{3})

Conversion Equation

3.5516328125 \times 10^{- 6} = x \times 3.785411784 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

3.5516328125 \times {10^{- 6}}^{10^{- 3}} = x \times 3.785411784 \times 10^{- 3}

Simplify

3.5516328125 \times 10^{- 3} = x \times 3.785411784

Switch sides

x \times 3.785411784 = 3.5516328125 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.785411784})

x \times 3.785411784 \times \frac{1.0}{3.785411784} = 3.5516328125 \times 10^{- 3} \times \frac{1.0}{3.785411784}

Cancel

x \times 3.785411784 \times \frac{1.0}{3.785411784} = 3.5516328125 \times 10^{- 3} \times \frac{1.0}{3.785411784}

Simplify

x = \frac{3.5516328125 \times 10^{- 3}}{3.785411784}

Solve

x

x \approx 0.0009382421 \approx 9.3824 \times 10^{- 4}

Conversion Equation

1.0 (d r a m) \approx 9.3824 \times 10^{- 4} (g a l l o n)

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