Convert cup to teaspoon

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = 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 (c u p) = 2.273045 \times 10^{- 4} (c u b i c m e t e r) = 2.273045 \times 10^{- 4} (m^{3})

Right side: 1.0 (t e a s p o o n) = 5.91938802083333 \times 10^{- 6} (c u b i c m e t e r) = 5.91938802083333 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2.273045 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 5.91938802083333 \times 10^{- 6} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \cdot 5.91938802083333 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \times 5.91938802083333 \times 10^{- 6} \times (m^{3})

Conversion Equation

2.273045 \times 10^{- 4} = x \times 5.91938802083333 \times 10^{- 6}

Cancel factors on both sides

Cancel factors

2.273045 \times 10^{- 4} = x \times 5.91938802083333 \times {10^{- 6}}^{10^{- 2}}

Simplify

2.273045 = x \times 5.91938802083333 \times 10^{- 2}

Switch sides

x \times 5.91938802083333 \times 10^{- 2} = 2.273045

Isolate

x

Multiply both sides by

(\frac{1.0}{5.91938802083333 \times 10^{- 2}})

x \times 5.91938802083333 \times 10^{- 2} \times \frac{1.0}{5.91938802083333 \times 10^{- 2}} = 2.273045 \times \frac{1.0}{5.91938802083333 \times 10^{- 2}}

Cancel

x \times 5.91938802083333 \times 10^{- 2} \times \frac{1.0}{5.91938802083333 \times 10^{- 2}} = 2.273045 \times \frac{1.0}{5.91938802083333 \times 10^{- 2}}

Simplify

x = \frac{2.273045}{5.91938802083333 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 2.273045}{5.91938802083333}

Solve

x

x = 38.4

Conversion Equation

1.0 (c u p) = 38.4 (t e a s p o o n)

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