Convert douzième to inch

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

Calculation Breakdown

Set up the equation

1.0 (d o u z i è m e) = x (i n c h)

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

(m e t e r)

Left side: 1.0 (d o u z i è m e) = 1.88 \times 10^{- 4} (m e t e r) = 1.88 \times 10^{- 4} (m)

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

Insert known values into the conversion equation to determine

x

1.0 (d o u z i è m e) = x (i n c h)

Insert known values =>

1.0 \times 1.88 \times 10^{- 4} \times (m e t e r) = x \times 2.5400051 \times 10^{- 2} \times (m e t e r)

Or

1.0 \cdot 1.88 \times 10^{- 4} \cdot (m) = x \cdot 2.5400051 \times 10^{- 2} \cdot (m)

Cancel SI units

1.0 \times 1.88 \times 10^{- 4} \cdot (m) = x \times 2.5400051 \times 10^{- 2} \times (m)

Conversion Equation

1.88 \times 10^{- 4} = x \times 2.5400051 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

1.88 \times {10^{- 4}}^{10^{- 2}} = x \times 2.5400051 \times 10^{- 2}

Simplify

1.88 \times 10^{- 2} = x \times 2.5400051

Switch sides

x \times 2.5400051 = 1.88 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.5400051})

x \times 2.5400051 \times \frac{1.0}{2.5400051} = 1.88 \times 10^{- 2} \times \frac{1.0}{2.5400051}

Cancel

x \times 2.5400051 \times \frac{1.0}{2.5400051} = 1.88 \times 10^{- 2} \times \frac{1.0}{2.5400051}

Simplify

x = \frac{1.88 \times 10^{- 2}}{2.5400051}

Solve

x

x \approx 0.0074015599 \approx 7.4016 \times 10^{- 3}

Conversion Equation

1.0 (d o u z i è m e) \approx 7.4016 \times 10^{- 3} (i n c h)

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