Convert dash to dessertspoon

Learn how to convert 1 dash to dessertspoon step by step.

Calculation Breakdown

Set up the equation

1.0 (d a s h) = x (d e s s e r t s p o o n)

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 (d a s h) = 3.08057599609375 \times 10^{- 7} (c u b i c m e t e r) = 3.08057599609375 \times 10^{- 7} (m^{3})

Right side: 1.0 (d e s s e r t s p o o n) = 1.18387760416667 \times 10^{- 5} (c u b i c m e t e r) = 1.18387760416667 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d a s h) = x (d e s s e r t s p o o n)

Insert known values =>

1.0 \times 3.08057599609375 \times 10^{- 7} \times (c u b i c m e t e r) = x \times 1.18387760416667 \times 10^{- 5} \times (c u b i c m e t e r)

Or

1.0 \cdot 3.08057599609375 \times 10^{- 7} \cdot (m^{3}) = x \cdot 1.18387760416667 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 3.08057599609375 \times 10^{- 7} \cdot (m^{3}) = x \times 1.18387760416667 \times 10^{- 5} \times (m^{3})

Conversion Equation

3.08057599609375 \times 10^{- 7} = x \times 1.18387760416667 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

3.08057599609375 \times {10^{- 7}}^{10^{- 2}} = x \times 1.18387760416667 \times 10^{- 5}

Simplify

3.08057599609375 \times 10^{- 2} = x \times 1.18387760416667

Switch sides

x \times 1.18387760416667 = 3.08057599609375 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.18387760416667})

x \times 1.18387760416667 \times \frac{1.0}{1.18387760416667} = 3.08057599609375 \times 10^{- 2} \times \frac{1.0}{1.18387760416667}

Cancel

x \times 1.18387760416667 \times \frac{1.0}{1.18387760416667} = 3.08057599609375 \times 10^{- 2} \times \frac{1.0}{1.18387760416667}

Simplify

x = \frac{3.08057599609375 \times 10^{- 2}}{1.18387760416667}

Solve

x

x \approx 0.0260210683 \approx 2.6021 \times 10^{- 2}

Conversion Equation

1.0 (d a s h) \approx 2.6021 \times 10^{- 2} (d e s s e r t s p o o n)

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