Convert scruple to crith

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

Calculation Breakdown

Set up the equation

1.0 (s c r u p l e) = x (c r i t h)

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 (c r i t h) = 9.0 \times 10^{- 5} (k i l o g r a m) = 9.0 \times 10^{- 5} (k g)

Insert known values into the conversion equation to determine

x

1.0 (s c r u p l e) = x (c r i t h)

Insert known values =>

1.0 \times 0.0012959782 \times (k i l o g r a m) = x \times 9.0 \times 10^{- 5} \times (k i l o g r a m)

Or

1.0 \cdot 0.0012959782 \cdot (k g) = x \cdot 9.0 \times 10^{- 5} \cdot (k g)

Cancel SI units

1.0 \times 0.0012959782 \cdot (k g) = x \times 9.0 \times 10^{- 5} \times (k g)

Conversion Equation

0.0012959782 = x \times 9.0 \times 10^{- 5}

Switch sides

x \times 9.0 \times 10^{- 5} = 0.0012959782

Isolate

x

Multiply both sides by

(\frac{1.0}{9.0 \times 10^{- 5}})

x \times 9.0 \times 10^{- 5} \times \frac{1.0}{9.0 \times 10^{- 5}} = 0.0012959782 \times \frac{1.0}{9.0 \times 10^{- 5}}

Cancel

x \times 9.0 \times 10^{- 5} \times \frac{1.0}{9.0 \times 10^{- 5}} = 0.0012959782 \times \frac{1.0}{9.0 \times 10^{- 5}}

Simplify

x = \frac{0.0012959782}{9.0 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 0.0012959782}{9.0}

Solve

x

x \approx 14.399757778 \approx 14.3998

Conversion Equation

1.0 (s c r u p l e) \approx 14.3998 (c r i t h)

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