Convert em to ken(間)

Learn how to convert 1 em to ken(間) step by step.

Calculation Breakdown

Set up the equation

1.0 (e m) = x (k e n (間))

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

(m e t e r)

Left side: 1.0 (e m) = \frac{1.0}{2835.0} (m e t e r) = \frac{1.0}{2835.0} (m)

Right side: 1.0 (k e n (間)) = \frac{20.0}{11.0} (m e t e r) = \frac{20.0}{11.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (e m) = x (k e n (間))

Insert known values =>

1.0 \times \frac{1.0}{2835.0} \times (m e t e r) = x \times \frac{20.0}{11.0} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{2835.0} \cdot (m) = x \cdot \frac{20.0}{11.0} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{2835.0} \cdot (m) = x \times \frac{20.0}{11.0} \times (m)

Conversion Equation

\frac{1.0}{2835.0} = x \times \frac{20.0}{11.0}

Switch sides

x \times \frac{20.0}{11.0} = \frac{1.0}{2835.0}

Isolate

x

Multiply both sides by

(\frac{11.0}{20.0})

x \times \frac{20.0}{11.0} \times \frac{11.0}{20.0} = \frac{1.0}{2835.0} \times \frac{11.0}{20.0}

Cancel

x \times \frac{20.0 \times 11.0}{11.0 \times 20.0} = \frac{1.0 \times 11.0}{2835.0 \times 20.0}

Simplify

x = \frac{11.0}{2835.0 \times 20.0}

Solve

x

x \approx 0.0001940035 \approx 1.94 \times 10^{- 4}

Conversion Equation

1.0 (e m) \approx 1.94 \times 10^{- 4} (k e n (間))

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