Convert zhang(丈) to cun(公寸)

Learn how to convert 1 zhang(丈) to cun(公寸) step by step.

Calculation Breakdown

Set up the equation

1.0 (z h a n g (丈)) = x (c u n (公 寸))

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

(m e t e r)

Left side: 1.0 (z h a n g (丈)) = \frac{10.0}{3.0} (m e t e r) = \frac{10.0}{3.0} (m)

Right side: 1.0 (c u n (公 寸)) = 10^{- 1} (m e t e r) = 10^{- 1} (m)

Insert known values into the conversion equation to determine

x

1.0 (z h a n g (丈)) = x (c u n (公 寸))

Insert known values =>

1.0 \times \frac{10.0}{3.0} \times (m e t e r) = x \times 10^{- 1} \times (m e t e r)

Or

1.0 \cdot \frac{10.0}{3.0} \cdot (m) = x \cdot 10^{- 1} \cdot (m)

Cancel SI units

1.0 \times \frac{10.0}{3.0} \cdot (m) = x \times 10^{- 1} \times (m)

Conversion Equation

\frac{10.0}{3.0} = x \times 10^{- 1}

Switch sides

x \times 10^{- 1} = \frac{10.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 1}})

x \times 10^{- 1} \times \frac{1.0}{10^{- 1}} = \frac{10.0}{3.0} \times \frac{1.0}{10^{- 1}}

Cancel

x \times 10^{- 1} \times \frac{1.0}{10^{- 1}} = \frac{10.0 \times 1.0}{3.0 \times 10^{- 1}}

Simplify

x = \frac{10.0}{3.0 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 10.0}{3.0}

Simplify

x = \frac{{10.0}^{2}}{3.0}

Solve

x

x \approx 33.333333333 \approx 33.3333

Conversion Equation

1.0 (z h a n g (丈)) \approx 33.3333 (c u n (公 寸))

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