Convert fen(市分) to football field

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

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = x (f o o t b a l l f i e l d)

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 (f o o t b a l l f i e l d) = 91.44 (m e t e r) = 91.44 (m)

Insert known values into the conversion equation to determine

x

1.0 (f e n (市 分)) = x (f o o t b a l l f i e l d)

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \times (m e t e r) = x \times 91.44 \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \cdot 91.44 \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \times 91.44 \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{2}} = x \times 91.44

Switch sides

x \times 91.44 = \frac{1.0}{3.0 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{91.44})

x \times 91.44 \times \frac{1.0}{91.44} = \frac{1.0}{3.0 \times 10^{2}} \times \frac{1.0}{91.44}

Cancel

x \times 91.44 \times \frac{1.0}{91.44} = \frac{1.0 \times 1.0}{3.0 \times 10^{2} \times 91.44}

Simplify

x = \frac{1.0}{3.0 \times 10^{2} \times 91.44}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2}}{3.0 \times 91.44}

Solve

x

x \approx 0.0000364538 \approx 3.6454 \times 10^{- 5}

Conversion Equation

1.0 (f e n (市 分)) \approx 3.6454 \times 10^{- 5} (f o o t b a l l f i e l d)

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