Convert zhang(丈) to fall

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

Calculation Breakdown

Set up the equation

1.0 (z h a n g (丈)) = x (f a l l)

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 (f a l l) = 5.67 (m e t e r) = 5.67 (m)

Insert known values into the conversion equation to determine

x

1.0 (z h a n g (丈)) = x (f a l l)

Insert known values =>

1.0 \times \frac{10.0}{3.0} \times (m e t e r) = x \times 5.67 \times (m e t e r)

Or

1.0 \cdot \frac{10.0}{3.0} \cdot (m) = x \cdot 5.67 \cdot (m)

Cancel SI units

1.0 \times \frac{10.0}{3.0} \cdot (m) = x \times 5.67 \times (m)

Conversion Equation

\frac{10.0}{3.0} = x \times 5.67

Switch sides

x \times 5.67 = \frac{10.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.67})

x \times 5.67 \times \frac{1.0}{5.67} = \frac{10.0}{3.0} \times \frac{1.0}{5.67}

Cancel

x \times 5.67 \times \frac{1.0}{5.67} = \frac{10.0 \times 1.0}{3.0 \times 5.67}

Simplify

x = \frac{10.0}{3.0 \times 5.67}

Solve

x

x \approx 0.5878894768 \approx 5.8789 \times 10^{- 1}

Conversion Equation

1.0 (z h a n g (丈)) \approx 5.8789 \times 10^{- 1} (f a l l)

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