Convert yin(引) to lap

Learn how to convert 1 yin(引) to lap step by step.

Calculation Breakdown

Set up the equation

1.0 (y i n (引)) = x (l a p)

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

(m e t e r)

Left side: 1.0 (y i n (引)) = \frac{10^{2}}{3.0} (m e t e r) = \frac{10^{2}}{3.0} (m)

Right side: 1.0 (l a p) = 4.0 \times 10^{2} (m e t e r) = 4.0 \times 10^{2} (m)

Insert known values into the conversion equation to determine

x

1.0 (y i n (引)) = x (l a p)

Insert known values =>

1.0 \times \frac{10^{2}}{3.0} \times (m e t e r) = x \times 4.0 \times 10^{2} \times (m e t e r)

Or

1.0 \cdot \frac{10^{2}}{3.0} \cdot (m) = x \cdot 4.0 \times 10^{2} \cdot (m)

Cancel SI units

1.0 \times \frac{10^{2}}{3.0} \cdot (m) = x \times 4.0 \times 10^{2} \times (m)

Conversion Equation

\frac{10^{2}}{3.0} = x \times 4.0 \times 10^{2}

Cancel factors on both sides

Cancel factors

\frac{10^{2}}{3.0} = x \times 4.0 \times 10^{2}

Simplify

\frac{1.0}{3.0} = x \times 4.0

Switch sides

x \times 4.0 = \frac{1.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.0})

x \times 4.0 \times \frac{1.0}{4.0} = \frac{1.0}{3.0} \times \frac{1.0}{4.0}

Cancel

x \times 4.0 \times \frac{1.0}{4.0} = \frac{1.0 \times 1.0}{3.0 \times 4.0}

Simplify

x = \frac{1.0}{3.0 \times 4.0}

Solve

x

x \approx 0.0833333333 \approx 8.3333 \times 10^{- 2}

Conversion Equation

1.0 (y i n (引)) \approx 8.3333 \times 10^{- 2} (l a p)

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