Convert fifth to pinch

Learn how to convert 1 fifth to pinch step by step.

Calculation Breakdown

Set up the equation

1.0 (f i f t h) = x (p i n c h)

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

(c u b i c m e t e r)

Left side: 1.0 (f i f t h) = 7.570823568 \times 10^{- 4} (c u b i c m e t e r) = 7.570823568 \times 10^{- 4} (m^{3})

Right side: 1.0 (p i n c h) = 6.1611519921875 \times 10^{- 7} (c u b i c m e t e r) = 6.1611519921875 \times 10^{- 7} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (f i f t h) = x (p i n c h)

Insert known values =>

1.0 \times 7.570823568 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 6.1611519921875 \times 10^{- 7} \times (c u b i c m e t e r)

Or

1.0 \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \cdot 6.1611519921875 \times 10^{- 7} \cdot (m^{3})

Cancel SI units

1.0 \times 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \times 6.1611519921875 \times 10^{- 7} \times (m^{3})

Conversion Equation

7.570823568 \times 10^{- 4} = x \times 6.1611519921875 \times 10^{- 7}

Cancel factors on both sides

Cancel factors

7.570823568 \times 10^{- 4} = x \times 6.1611519921875 \times {10^{- 7}}^{10^{- 3}}

Simplify

7.570823568 = x \times 6.1611519921875 \times 10^{- 3}

Switch sides

x \times 6.1611519921875 \times 10^{- 3} = 7.570823568

Isolate

x

Multiply both sides by

(\frac{1.0}{6.1611519921875 \times 10^{- 3}})

x \times 6.1611519921875 \times 10^{- 3} \times \frac{1.0}{6.1611519921875 \times 10^{- 3}} = 7.570823568 \times \frac{1.0}{6.1611519921875 \times 10^{- 3}}

Cancel

x \times 6.1611519921875 \times 10^{- 3} \times \frac{1.0}{6.1611519921875 \times 10^{- 3}} = 7.570823568 \times \frac{1.0}{6.1611519921875 \times 10^{- 3}}

Simplify

x = \frac{7.570823568}{6.1611519921875 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 7.570823568}{6.1611519921875}

Solve

x

x = 1228.8 = 1.2288 \times 10^{3}

Conversion Equation

1.0 (f i f t h) = 1.2288 \times 10^{3} (p i n c h)

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