Convert dram to drop

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

Calculation Breakdown

Set up the equation

1.0 (d r a m) = x (d r o p)

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

Right side: 1.0 (d r o p) = 7.78866844846491 \times 10^{- 8} (c u b i c m e t e r) = 7.78866844846491 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d r a m) = x (d r o p)

Insert known values =>

1.0 \times 3.6966911953125 \times 10^{- 6} \times (c u b i c m e t e r) = x \times 7.78866844846491 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 3.6966911953125 \times 10^{- 6} \cdot (m^{3}) = x \cdot 7.78866844846491 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 3.6966911953125 \times 10^{- 6} \cdot (m^{3}) = x \times 7.78866844846491 \times 10^{- 8} \times (m^{3})

Conversion Equation

3.6966911953125 \times 10^{- 6} = x \times 7.78866844846491 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

3.6966911953125 \times 10^{- 6} = x \times 7.78866844846491 \times {10^{- 8}}^{10^{- 2}}

Simplify

3.6966911953125 = x \times 7.78866844846491 \times 10^{- 2}

Switch sides

x \times 7.78866844846491 \times 10^{- 2} = 3.6966911953125

Isolate

x

Multiply both sides by

(\frac{1.0}{7.78866844846491 \times 10^{- 2}})

x \times 7.78866844846491 \times 10^{- 2} \times \frac{1.0}{7.78866844846491 \times 10^{- 2}} = 3.6966911953125 \times \frac{1.0}{7.78866844846491 \times 10^{- 2}}

Cancel

x \times 7.78866844846491 \times 10^{- 2} \times \frac{1.0}{7.78866844846491 \times 10^{- 2}} = 3.6966911953125 \times \frac{1.0}{7.78866844846491 \times 10^{- 2}}

Simplify

x = \frac{3.6966911953125}{7.78866844846491 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 3.6966911953125}{7.78866844846491}

Solve

x

x \approx 47.462428524 \approx 47.4624

Conversion Equation

1.0 (d r a m) \approx 47.4624 (d r o p)

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