Convert scruple to sack

Learn how to convert 1 scruple to sack step by step.

Calculation Breakdown

Set up the equation

1.0 (s c r u p l e) = x (s a c k)

Define the base values of the selected units in relation to the SI unit

(k i l o g r a m)

Left side: 1.0 (s c r u p l e) = 0.0012959782 (k i l o g r a m) = 0.0012959782 (k g)

Right side: 1.0 (s a c k) = 42.63768278 (k i l o g r a m) = 42.63768278 (k g)

Insert known values into the conversion equation to determine

x

1.0 (s c r u p l e) = x (s a c k)

Insert known values =>

1.0 \times 0.0012959782 \times (k i l o g r a m) = x \times 42.63768278 \times (k i l o g r a m)

Or

1.0 \cdot 0.0012959782 \cdot (k g) = x \cdot 42.63768278 \cdot (k g)

Cancel SI units

1.0 \times 0.0012959782 \cdot (k g) = x \times 42.63768278 \times (k g)

Conversion Equation

0.0012959782 = x \times 42.63768278

Switch sides

x \times 42.63768278 = 0.0012959782

Isolate

x

Multiply both sides by

(\frac{1.0}{42.63768278})

x \times 42.63768278 \times \frac{1.0}{42.63768278} = 0.0012959782 \times \frac{1.0}{42.63768278}

Cancel

x \times 42.63768278 \times \frac{1.0}{42.63768278} = 0.0012959782 \times \frac{1.0}{42.63768278}

Simplify

x = \frac{0.0012959782}{42.63768278}

Solve

x

x \approx 0.0000303951 \approx 3.0395 \times 10^{- 5}

Conversion Equation

1.0 (s c r u p l e) \approx 3.0395 \times 10^{- 5} (s a c k)

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