Convert fen(市分) to si(丝)

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

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = x (s i (丝))

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

(m e t e r)

Left side: 1.0 (f e n (市 分)) = \frac{1.0}{3.0 \times 10^{2}} (m e t e r) = \frac{1.0}{3.0 \times 10^{2}} (m)

Right side: 1.0 (s i (丝)) = 10^{- 5} (m e t e r) = 10^{- 5} (m)

Insert known values into the conversion equation to determine

x

1.0 (f e n (市 分)) = x (s i (丝))

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \times (m e t e r) = x \times 10^{- 5} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \cdot 10^{- 5} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \times 10^{- 5} \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{2}} = x \times 10^{- 5}

Switch sides

x \times 10^{- 5} = \frac{1.0}{3.0 \times 10^{2}}

Isolate

x

Multiply both sides by

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

x \times 10^{- 5} \times \frac{1.0}{10^{- 5}} = \frac{1.0}{3.0 \times 10^{2}} \times \frac{1.0}{10^{- 5}}

Cancel

x \times 10^{- 5} \times \frac{1.0}{10^{- 5}} = \frac{1.0 \times 1.0}{3.0 \times 10^{2} \times {10^{- 5}}^{10^{- 3}}}

Simplify

x = \frac{1.0}{3.0 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3}}{3.0}

Solve

x

x \approx 333.33333333 \approx 3.3333 \times 10^{2}

Conversion Equation

1.0 (f e n (市 分)) \approx 3.3333 \times 10^{2} (s i (丝))

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