Convert gallon to dram

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

Calculation Breakdown

Set up the equation

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

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 (d r a m) = 3.6966911953125 \times 10^{- 6} (c u b i c m e t e r) = 3.6966911953125 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.5424941408 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 3.6966911953125 \times 10^{- 6} \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 3.6966911953125 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 4.5424941408 \times 10^{- 3} \cdot (m^{3}) = x \times 3.6966911953125 \times 10^{- 6} \times (m^{3})

Conversion Equation

4.5424941408 \times 10^{- 3} = x \times 3.6966911953125 \times 10^{- 6}

Cancel factors on both sides

Cancel factors

4.5424941408 \times 10^{- 3} = x \times 3.6966911953125 \times {10^{- 6}}^{10^{- 3}}

Simplify

4.5424941408 = x \times 3.6966911953125 \times 10^{- 3}

Switch sides

x \times 3.6966911953125 \times 10^{- 3} = 4.5424941408

Isolate

x

Multiply both sides by

(\frac{1.0}{3.6966911953125 \times 10^{- 3}})

x \times 3.6966911953125 \times 10^{- 3} \times \frac{1.0}{3.6966911953125 \times 10^{- 3}} = 4.5424941408 \times \frac{1.0}{3.6966911953125 \times 10^{- 3}}

Cancel

x \times 3.6966911953125 \times 10^{- 3} \times \frac{1.0}{3.6966911953125 \times 10^{- 3}} = 4.5424941408 \times \frac{1.0}{3.6966911953125 \times 10^{- 3}}

Simplify

x = \frac{4.5424941408}{3.6966911953125 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 4.5424941408}{3.6966911953125}

Solve

x

x = 1228.8 = 1.2288 \times 10^{3}

Conversion Equation

1.0 (g a l l o n) = 1.2288 \times 10^{3} (d r a m)

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