Convert dessertspoon to cup

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

Calculation Breakdown

Set up the equation

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

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 (c u p) = 2.84130625 \times 10^{- 4} (c u b i c m e t e r) = 2.84130625 \times 10^{- 4} (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 (c u p)

Insert known values =>

1.0 \times 1.18387760416667 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 2.84130625 \times 10^{- 4} \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 2.84130625 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \times 2.84130625 \times 10^{- 4} \times (m^{3})

Conversion Equation

1.18387760416667 \times 10^{- 5} = x \times 2.84130625 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

1.18387760416667 \times {10^{- 5}}^{10^{- 1}} = x \times 2.84130625 \times 10^{- 4}

Simplify

1.18387760416667 \times 10^{- 1} = x \times 2.84130625

Switch sides

x \times 2.84130625 = 1.18387760416667 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.84130625})

x \times 2.84130625 \times \frac{1.0}{2.84130625} = 1.18387760416667 \times 10^{- 1} \times \frac{1.0}{2.84130625}

Cancel

x \times 2.84130625 \times \frac{1.0}{2.84130625} = 1.18387760416667 \times 10^{- 1} \times \frac{1.0}{2.84130625}

Simplify

x = \frac{1.18387760416667 \times 10^{- 1}}{2.84130625}

Solve

x

x \approx 0.0416666667 \approx 4.1667 \times 10^{- 2}

Conversion Equation

1.0 (d e s s e r t s p o o n) \approx 4.1667 \times 10^{- 2} (c u p)

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