Convert dessertspoon to to(升)

Learn how to convert 1 dessertspoon to to(升) step by step.

Calculation Breakdown

Set up the equation

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

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 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})

Right side: 1.0 (t o (升)) = \frac{2.401}{1.331 \times 10^{2}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{2}} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.18387760416667 \times 10^{- 5} \times (c u b i c m e t e r) = x \times \frac{2.401}{1.331 \times 10^{2}} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \cdot \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3})

Cancel SI units

1.0 \times 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \times \frac{2.401}{1.331 \times 10^{2}} \times (m^{3})

Conversion Equation

1.18387760416667 \times 10^{- 5} = x \times \frac{2.401}{1.331 \times 10^{2}}

Switch sides

x \times \frac{2.401}{1.331 \times 10^{2}} = 1.18387760416667 \times 10^{- 5}

Isolate

x

Multiply both sides by

(\frac{1.331 \times 10^{2}}{2.401})

x \times \frac{2.401}{1.331 \times 10^{2}} \times \frac{1.331 \times 10^{2}}{2.401} = 1.18387760416667 \times 10^{- 5} \times \frac{1.331 \times 10^{2}}{2.401}

Cancel

x \times \frac{2.401 \times 1.331 \times 10^{2}}{1.331 \times 10^{2} \times 2.401} = 1.18387760416667 \times {10^{- 5}}^{10^{- 3}} \times \frac{1.331 \times 10^{2}}{2.401}

Simplify

x = \frac{1.18387760416667 \times 10^{- 3} \times 1.331}{2.401}

Solve

x

x \approx 0.0006562853 \approx 6.5629 \times 10^{- 4}

Conversion Equation

1.0 (d e s s e r t s p o o n) \approx 6.5629 \times 10^{- 4} (t o (升))

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