Convert fermi to fathom

Learn how to convert 1 fermi to fathom step by step.

Calculation Breakdown

Set up the equation

1.0 (f e r m i) = x (f a t h o m)

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

(m e t e r)

Left side: 1.0 (f e r m i) = 10^{- 15} (m e t e r) = 10^{- 15} (m)

Right side: 1.0 (f a t h o m) = 1.8288 (m e t e r) = 1.8288 (m)

Insert known values into the conversion equation to determine

x

1.0 (f e r m i) = x (f a t h o m)

Insert known values =>

1.0 \times 10^{- 15} \times (m e t e r) = x \times 1.8288 \times (m e t e r)

Or

1.0 \cdot 10^{- 15} \cdot (m) = x \cdot 1.8288 \cdot (m)

Cancel SI units

1.0 \times 10^{- 15} \cdot (m) = x \times 1.8288 \times (m)

Conversion Equation

10^{- 15} = x \times 1.8288

Switch sides

x \times 1.8288 = 10^{- 15}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.8288})

x \times 1.8288 \times \frac{1.0}{1.8288} = 10^{- 15} \times \frac{1.0}{1.8288}

Cancel

x \times 1.8288 \times \frac{1.0}{1.8288} = 10^{- 15} \times \frac{1.0}{1.8288}

Simplify

x = \frac{10^{- 15}}{1.8288}

Solve

x

x \approx 5.4680664917 \times 10^{- 16} \approx 5.4681 \times 10^{- 16}

Conversion Equation

1.0 (f e r m i) \approx 5.4681 \times 10^{- 16} (f a t h o m)

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