Convert fen(市分) to scruple

Learn how to convert 1 fen(市分) to scruple step by step.

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = x (s c r u p l e)

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 (f e n (市 分)) = 5.0 \times 10^{- 4} (k i l o g r a m) = 5.0 \times 10^{- 4} (k g)

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

Insert known values into the conversion equation to determine

x

1.0 (f e n (市 分)) = x (s c r u p l e)

Insert known values =>

1.0 \times 5.0 \times 10^{- 4} \times (k i l o g r a m) = x \times 0.0012959782 \times (k i l o g r a m)

Or

1.0 \cdot 5.0 \times 10^{- 4} \cdot (k g) = x \cdot 0.0012959782 \cdot (k g)

Cancel SI units

1.0 \times 5.0 \times 10^{- 4} \cdot (k g) = x \times 0.0012959782 \times (k g)

Conversion Equation

5.0 \times 10^{- 4} = x \times 0.0012959782

Switch sides

x \times 0.0012959782 = 5.0 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.0012959782})

x \times 0.0012959782 \times \frac{1.0}{0.0012959782} = 5.0 \times 10^{- 4} \times \frac{1.0}{0.0012959782}

Cancel

x \times 0.0012959782 \times \frac{1.0}{0.0012959782} = 5.0 \times 10^{- 4} \times \frac{1.0}{0.0012959782}

Simplify

x = \frac{5.0 \times 10^{- 4}}{0.0012959782}

Solve

x

x \approx 0.3858089588 \approx 3.8581 \times 10^{- 1}

Conversion Equation

1.0 (f e n (市 分)) \approx 3.8581 \times 10^{- 1} (s c r u p l e)

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