Convert ligne to caliber

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

Calculation Breakdown

Set up the equation

1.0 (l i g n e) = x (c a l i b e r)

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

(m e t e r)

Left side: 1.0 (l i g n e) = \frac{0.2233275}{99.0} (m e t e r) = \frac{0.2233275}{99.0} (m)

Right side: 1.0 (c a l i b e r) = 2.54 \times 10^{- 4} (m e t e r) = 2.54 \times 10^{- 4} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g n e) = x (c a l i b e r)

Insert known values =>

1.0 \times \frac{0.2233275}{99.0} \times (m e t e r) = x \times 2.54 \times 10^{- 4} \times (m e t e r)

Or

1.0 \cdot \frac{0.2233275}{99.0} \cdot (m) = x \cdot 2.54 \times 10^{- 4} \cdot (m)

Cancel SI units

1.0 \times \frac{0.2233275}{99.0} \cdot (m) = x \times 2.54 \times 10^{- 4} \times (m)

Conversion Equation

\frac{0.2233275}{99.0} = x \times 2.54 \times 10^{- 4}

Switch sides

x \times 2.54 \times 10^{- 4} = \frac{0.2233275}{99.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54 \times 10^{- 4}})

x \times 2.54 \times 10^{- 4} \times \frac{1.0}{2.54 \times 10^{- 4}} = \frac{0.2233275}{99.0} \times \frac{1.0}{2.54 \times 10^{- 4}}

Cancel

x \times 2.54 \times 10^{- 4} \times \frac{1.0}{2.54 \times 10^{- 4}} = \frac{0.2233275 \times 1.0}{99.0 \times 2.54 \times 10^{- 4}}

Simplify

x = \frac{0.2233275}{99.0 \times 2.54 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 0.2233275}{99.0 \times 2.54}

Solve

x

x \approx 8.8812335958 \approx 8.8812

Conversion Equation

1.0 (l i g n e) \approx 8.8812 (c a l i b e r)

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