Convert zhang(丈) to rope

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

Calculation Breakdown

Set up the equation

1.0 (z h a n g (丈)) = x (r o p e)

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 (r o p e) = 6.096 (m e t e r) = 6.096 (m)

Insert known values into the conversion equation to determine

x

1.0 (z h a n g (丈)) = x (r o p e)

Insert known values =>

1.0 \times \frac{10.0}{3.0} \times (m e t e r) = x \times 6.096 \times (m e t e r)

Or

1.0 \cdot \frac{10.0}{3.0} \cdot (m) = x \cdot 6.096 \cdot (m)

Cancel SI units

1.0 \times \frac{10.0}{3.0} \cdot (m) = x \times 6.096 \times (m)

Conversion Equation

\frac{10.0}{3.0} = x \times 6.096

Switch sides

x \times 6.096 = \frac{10.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{6.096})

x \times 6.096 \times \frac{1.0}{6.096} = \frac{10.0}{3.0} \times \frac{1.0}{6.096}

Cancel

x \times 6.096 \times \frac{1.0}{6.096} = \frac{10.0 \times 1.0}{3.0 \times 6.096}

Simplify

x = \frac{10.0}{3.0 \times 6.096}

Solve

x

x \approx 0.5468066492 \approx 5.4681 \times 10^{- 1}

Conversion Equation

1.0 (z h a n g (丈)) \approx 5.4681 \times 10^{- 1} (r o p e)

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