Convert cup to dessertspoon

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = 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 (c u p) = 2.365882365 \times 10^{- 4} (c u b i c m e t e r) = 2.365882365 \times 10^{- 4} (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 (c u p) = x (d e s s e r t s p o o n)

Insert known values =>

1.0 \times 2.365882365 \times 10^{- 4} \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 2.365882365 \times 10^{- 4} \cdot (m^{3}) = x \cdot 1.18387760416667 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 2.365882365 \times 10^{- 4} \cdot (m^{3}) = x \times 1.18387760416667 \times 10^{- 5} \times (m^{3})

Conversion Equation

2.365882365 \times 10^{- 4} = x \times 1.18387760416667 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

2.365882365 \times 10^{- 4} = x \times 1.18387760416667 \times {10^{- 5}}^{10^{- 1}}

Simplify

2.365882365 = x \times 1.18387760416667 \times 10^{- 1}

Switch sides

x \times 1.18387760416667 \times 10^{- 1} = 2.365882365

Isolate

x

Multiply both sides by

(\frac{1.0}{1.18387760416667 \times 10^{- 1}})

x \times 1.18387760416667 \times 10^{- 1} \times \frac{1.0}{1.18387760416667 \times 10^{- 1}} = 2.365882365 \times \frac{1.0}{1.18387760416667 \times 10^{- 1}}

Cancel

x \times 1.18387760416667 \times 10^{- 1} \times \frac{1.0}{1.18387760416667 \times 10^{- 1}} = 2.365882365 \times \frac{1.0}{1.18387760416667 \times 10^{- 1}}

Simplify

x = \frac{2.365882365}{1.18387760416667 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 2.365882365}{1.18387760416667}

Solve

x

x \approx 19.984180431 \approx 19.9842

Conversion Equation

1.0 (c u p) \approx 19.9842 (d e s s e r t s p o o n)

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