Convert inch to ligne

Learn how to convert 1 inch to ligne step by step.

Calculation Breakdown

Set up the equation

1.0 (i n c h) = x (l i g n e)

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

(m e t e r)

Left side: 1.0 (i n c h) = 2.5400051 \times 10^{- 2} (m e t e r) = 2.5400051 \times 10^{- 2} (m)

Right side: 1.0 (l i g n e) = 2.256 \times 10^{- 3} (m e t e r) = 2.256 \times 10^{- 3} (m)

Insert known values into the conversion equation to determine

x

1.0 (i n c h) = x (l i g n e)

Insert known values =>

1.0 \times 2.5400051 \times 10^{- 2} \times (m e t e r) = x \times 2.256 \times 10^{- 3} \times (m e t e r)

Or

1.0 \cdot 2.5400051 \times 10^{- 2} \cdot (m) = x \cdot 2.256 \times 10^{- 3} \cdot (m)

Cancel SI units

1.0 \times 2.5400051 \times 10^{- 2} \cdot (m) = x \times 2.256 \times 10^{- 3} \times (m)

Conversion Equation

2.5400051 \times 10^{- 2} = x \times 2.256 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

2.5400051 \times 10^{- 2} = x \times 2.256 \times {10^{- 3}}^{10^{- 1}}

Simplify

2.5400051 = x \times 2.256 \times 10^{- 1}

Switch sides

x \times 2.256 \times 10^{- 1} = 2.5400051

Isolate

x

Multiply both sides by

(\frac{1.0}{2.256 \times 10^{- 1}})

x \times 2.256 \times 10^{- 1} \times \frac{1.0}{2.256 \times 10^{- 1}} = 2.5400051 \times \frac{1.0}{2.256 \times 10^{- 1}}

Cancel

x \times 2.256 \times 10^{- 1} \times \frac{1.0}{2.256 \times 10^{- 1}} = 2.5400051 \times \frac{1.0}{2.256 \times 10^{- 1}}

Simplify

x = \frac{2.5400051}{2.256 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 2.5400051}{2.256}

Solve

x

x \approx 11.258887855 \approx 11.2589

Conversion Equation

1.0 (i n c h) \approx 11.2589 (l i g n e)

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