Convert drop to fluid scruple

Learn how to convert 1 drop to fluid scruple step by step.

Calculation Breakdown

Set up the equation

1.0 (d r o p) = x (f l u i d s c r u p l e)

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 o p) = 5.0 \times 10^{- 8} (c u b i c m e t e r) = 5.0 \times 10^{- 8} (m^{3})

Right side: 1.0 (f l u i d s c r u p l e) = 1.18387760416667 \times 10^{- 6} (c u b i c m e t e r) = 1.18387760416667 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d r o p) = x (f l u i d s c r u p l e)

Insert known values =>

1.0 \times 5.0 \times 10^{- 8} \times (c u b i c m e t e r) = x \times 1.18387760416667 \times 10^{- 6} \times (c u b i c m e t e r)

Or

1.0 \cdot 5.0 \times 10^{- 8} \cdot (m^{3}) = x \cdot 1.18387760416667 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 5.0 \times 10^{- 8} \cdot (m^{3}) = x \times 1.18387760416667 \times 10^{- 6} \times (m^{3})

Conversion Equation

5.0 \times 10^{- 8} = x \times 1.18387760416667 \times 10^{- 6}

Cancel factors on both sides

Cancel factors

5.0 \times {10^{- 8}}^{10^{- 2}} = x \times 1.18387760416667 \times 10^{- 6}

Simplify

5.0 \times 10^{- 2} = x \times 1.18387760416667

Switch sides

x \times 1.18387760416667 = 5.0 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.18387760416667})

x \times 1.18387760416667 \times \frac{1.0}{1.18387760416667} = 5.0 \times 10^{- 2} \times \frac{1.0}{1.18387760416667}

Cancel

x \times 1.18387760416667 \times \frac{1.0}{1.18387760416667} = 5.0 \times 10^{- 2} \times \frac{1.0}{1.18387760416667}

Simplify

x = \frac{5.0 \times 10^{- 2}}{1.18387760416667}

Solve

x

x \approx 0.0422340957 \approx 4.2234 \times 10^{- 2}

Conversion Equation

1.0 (d r o p) \approx 4.2234 \times 10^{- 2} (f l u i d s c r u p l e)

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