Convert scruple to assay ton

Learn how to convert 1 scruple to assay ton step by step.

Calculation Breakdown

Set up the equation

1.0 (s c r u p l e) = x (a s s a y t o n)

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 (a s s a y t o n) = \frac{49.0}{1.5 \times 10^{3}} (k i l o g r a m) = \frac{49.0}{1.5 \times 10^{3}} (k g)

Insert known values into the conversion equation to determine

x

1.0 (s c r u p l e) = x (a s s a y t o n)

Insert known values =>

1.0 \times 0.0012959782 \times (k i l o g r a m) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k i l o g r a m)

Or

1.0 \cdot 0.0012959782 \cdot (k g) = x \cdot \frac{49.0}{1.5 \times 10^{3}} \cdot (k g)

Cancel SI units

1.0 \times 0.0012959782 \cdot (k g) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k g)

Conversion Equation

0.0012959782 = x \times \frac{49.0}{1.5 \times 10^{3}}

Switch sides

x \times \frac{49.0}{1.5 \times 10^{3}} = 0.0012959782

Isolate

x

Multiply both sides by

(\frac{1.5 \times 10^{3}}{49.0})

x \times \frac{49.0}{1.5 \times 10^{3}} \times \frac{1.5 \times 10^{3}}{49.0} = 0.0012959782 \times \frac{1.5 \times 10^{3}}{49.0}

Cancel

x \times \frac{49.0 \times 1.5 \times 10^{3}}{1.5 \times 10^{3} \times 49.0} = 0.0012959782 \times \frac{1.5 \times 10^{3}}{49.0}

Simplify

x = \frac{0.0012959782 \times 1.5 \times 10^{3}}{49.0}

Solve

x

x \approx 0.039672802 \approx 3.9673 \times 10^{- 2}

Conversion Equation

1.0 (s c r u p l e) \approx 3.9673 \times 10^{- 2} (a s s a y t o n)

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