Convert fen(市分) to douzième

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

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = x (d o u z i è m e)

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 (d o u z i è m e) = 1.88 \times 10^{- 4} (m e t e r) = 1.88 \times 10^{- 4} (m)

Insert known values into the conversion equation to determine

x

1.0 (f e n (市 分)) = x (d o u z i è m e)

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \times (m e t e r) = x \times 1.88 \times 10^{- 4} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \cdot 1.88 \times 10^{- 4} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \times 1.88 \times 10^{- 4} \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{2}} = x \times 1.88 \times 10^{- 4}

Switch sides

x \times 1.88 \times 10^{- 4} = \frac{1.0}{3.0 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.88 \times 10^{- 4}})

x \times 1.88 \times 10^{- 4} \times \frac{1.0}{1.88 \times 10^{- 4}} = \frac{1.0}{3.0 \times 10^{2}} \times \frac{1.0}{1.88 \times 10^{- 4}}

Cancel

x \times 1.88 \times 10^{- 4} \times \frac{1.0}{1.88 \times 10^{- 4}} = \frac{1.0 \times 1.0}{3.0 \times 10^{2} \times 1.88 \times {10^{- 4}}^{10^{- 2}}}

Simplify

x = \frac{1.0}{3.0 \times 1.88 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2}}{3.0 \times 1.88}

Solve

x

x \approx 17.730496454 \approx 17.7305

Conversion Equation

1.0 (f e n (市 分)) \approx 17.7305 (d o u z i è m e)

View All Examples