Convert dessertspoon to teaspoon

Learn how to convert 1 dessertspoon to teaspoon 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 e a 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 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 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})

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 e a s p o o n)

Insert known values =>

1.0 \times 1.18387760416667 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 5.0 \times 10^{- 6} \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 5.0 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \times 5.0 \times 10^{- 6} \times (m^{3})

Conversion Equation

1.18387760416667 \times 10^{- 5} = x \times 5.0 \times 10^{- 6}

Cancel factors on both sides

Cancel factors

1.18387760416667 \times 10^{- 5} = x \times 5.0 \times {10^{- 6}}^{10^{- 1}}

Simplify

1.18387760416667 = x \times 5.0 \times 10^{- 1}

Switch sides

x \times 5.0 \times 10^{- 1} = 1.18387760416667

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 1}})

x \times 5.0 \times 10^{- 1} \times \frac{1.0}{5.0 \times 10^{- 1}} = 1.18387760416667 \times \frac{1.0}{5.0 \times 10^{- 1}}

Cancel

x \times 5.0 \times 10^{- 1} \times \frac{1.0}{5.0 \times 10^{- 1}} = 1.18387760416667 \times \frac{1.0}{5.0 \times 10^{- 1}}

Simplify

x = \frac{1.18387760416667}{5.0 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 1.18387760416667}{5.0}

Solve

x

x \approx 2.3677552083 \approx 2.3678

Conversion Equation

1.0 (d e s s e r t s p o o n) \approx 2.3678 (t e a s p o o n)

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