Convert teaspoon to pinch

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

Calculation Breakdown

Set up the equation

1.0 (t e a s p o o n) = 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 (t e a s p o o n) = 5.0 \times 10^{- 6} (c u b i c m e t e r) = 5.0 \times 10^{- 6} (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 (t e a s p o o n) = x (p i n c h)

Insert known values =>

1.0 \times 5.0 \times 10^{- 6} \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 5.0 \times 10^{- 6} \cdot (m^{3}) = x \cdot 6.1611519921875 \times 10^{- 7} \cdot (m^{3})

Cancel SI units

1.0 \times 5.0 \times 10^{- 6} \cdot (m^{3}) = x \times 6.1611519921875 \times 10^{- 7} \times (m^{3})

Conversion Equation

5.0 \times 10^{- 6} = x \times 6.1611519921875 \times 10^{- 7}

Cancel factors on both sides

Cancel factors

5.0 \times 10^{- 6} = x \times 6.1611519921875 \times {10^{- 7}}^{10^{- 1}}

Simplify

5.0 = x \times 6.1611519921875 \times 10^{- 1}

Switch sides

x \times 6.1611519921875 \times 10^{- 1} = 5.0

Isolate

x

Multiply both sides by

(\frac{1.0}{6.1611519921875 \times 10^{- 1}})

x \times 6.1611519921875 \times 10^{- 1} \times \frac{1.0}{6.1611519921875 \times 10^{- 1}} = 5.0 \times \frac{1.0}{6.1611519921875 \times 10^{- 1}}

Cancel

x \times 6.1611519921875 \times 10^{- 1} \times \frac{1.0}{6.1611519921875 \times 10^{- 1}} = 5.0 \times \frac{1.0}{6.1611519921875 \times 10^{- 1}}

Simplify

x = \frac{5.0}{6.1611519921875 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 5.0}{6.1611519921875}

Solve

x

x \approx 8.1153654484 \approx 8.1154

Conversion Equation

1.0 (t e a s p o o n) \approx 8.1154 (p i n c h)

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