Convert mile to cun(寸)

Learn how to convert 1 mile to cun(寸) step by step.

Calculation Breakdown

Set up the equation

1.0 (m i l e) = x (c u n (寸))

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

(m e t e r)

Left side: 1.0 (m i l e) = 1852.0 (m e t e r) = 1852.0 (m)

Right side: 1.0 (c u n (寸)) = \frac{1.0}{30.0} (m e t e r) = \frac{1.0}{30.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (m i l e) = x (c u n (寸))

Insert known values =>

1.0 \times 1852.0 \times (m e t e r) = x \times \frac{1.0}{30.0} \times (m e t e r)

Or

1.0 \cdot 1852.0 \cdot (m) = x \cdot \frac{1.0}{30.0} \cdot (m)

Cancel SI units

1.0 \times 1852.0 \cdot (m) = x \times \frac{1.0}{30.0} \times (m)

Conversion Equation

1852.0 = x \times \frac{1.0}{30.0}

Switch sides

x \times \frac{1.0}{30.0} = 1852.0

Isolate

x

Multiply both sides by

(\frac{30.0}{1.0})

x \times \frac{1.0}{30.0} \times \frac{30.0}{1.0} = 1852.0 \times \frac{30.0}{1.0}

Cancel

x \times \frac{1.0 \times 30.0}{30.0 \times 1.0} = 1852.0 \times \frac{30.0}{1.0}

Simplify

x = 1852.0 \times 30.0

Solve

x

x = 55560 = 5.556 \times 10^{4}

Conversion Equation

1.0 (m i l e) = 5.556 \times 10^{4} (c u n (寸))

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