Convert sun(寸) to mile

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

Calculation Breakdown

Set up the equation

1.0 (s u n (寸)) = x (m i l e)

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

(m e t e r)

Left side: 1.0 (s u n (寸)) = \frac{1.0}{33.0} (m e t e r) = \frac{1.0}{33.0} (m)

Right side: 1.0 (m i l e) = 1068.8 (m e t e r) = 1068.8 (m)

Insert known values into the conversion equation to determine

x

1.0 (s u n (寸)) = x (m i l e)

Insert known values =>

1.0 \times \frac{1.0}{33.0} \times (m e t e r) = x \times 1068.8 \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{33.0} \cdot (m) = x \cdot 1068.8 \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{33.0} \cdot (m) = x \times 1068.8 \times (m)

Conversion Equation

\frac{1.0}{33.0} = x \times 1068.8

Switch sides

x \times 1068.8 = \frac{1.0}{33.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1068.8})

x \times 1068.8 \times \frac{1.0}{1068.8} = \frac{1.0}{33.0} \times \frac{1.0}{1068.8}

Cancel

x \times 1068.8 \times \frac{1.0}{1068.8} = \frac{1.0 \times 1.0}{33.0 \times 1068.8}

Simplify

x = \frac{1.0}{33.0 \times 1068.8}

Solve

x

x \approx 0.0000283524 \approx 2.8352 \times 10^{- 5}

Conversion Equation

1.0 (s u n (寸)) \approx 2.8352 \times 10^{- 5} (m i l e)

View All Examples