Convert peck to tablespoon

Learn how to convert 1 peck to tablespoon step by step.

Calculation Breakdown

Set up the equation

1.0 (p e c k) = x (t a b l e 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 (p e c k) = 8.80976754172 \times 10^{- 3} (c u b i c m e t e r) = 8.80976754172 \times 10^{- 3} (m^{3})

Right side: 1.0 (t a b l e s p o o n) = 1.478676478125 \times 10^{- 5} (c u b i c m e t e r) = 1.478676478125 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (p e c k) = x (t a b l e s p o o n)

Insert known values =>

1.0 \times 8.80976754172 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 1.478676478125 \times 10^{- 5} \times (c u b i c m e t e r)

Or

1.0 \cdot 8.80976754172 \times 10^{- 3} \cdot (m^{3}) = x \cdot 1.478676478125 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 8.80976754172 \times 10^{- 3} \cdot (m^{3}) = x \times 1.478676478125 \times 10^{- 5} \times (m^{3})

Conversion Equation

8.80976754172 \times 10^{- 3} = x \times 1.478676478125 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

8.80976754172 \times 10^{- 3} = x \times 1.478676478125 \times {10^{- 5}}^{10^{- 2}}

Simplify

8.80976754172 = x \times 1.478676478125 \times 10^{- 2}

Switch sides

x \times 1.478676478125 \times 10^{- 2} = 8.80976754172

Isolate

x

Multiply both sides by

(\frac{1.0}{1.478676478125 \times 10^{- 2}})

x \times 1.478676478125 \times 10^{- 2} \times \frac{1.0}{1.478676478125 \times 10^{- 2}} = 8.80976754172 \times \frac{1.0}{1.478676478125 \times 10^{- 2}}

Cancel

x \times 1.478676478125 \times 10^{- 2} \times \frac{1.0}{1.478676478125 \times 10^{- 2}} = 8.80976754172 \times \frac{1.0}{1.478676478125 \times 10^{- 2}}

Simplify

x = \frac{8.80976754172}{1.478676478125 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 8.80976754172}{1.478676478125}

Solve

x

x \approx 595.78735931 \approx 5.9579 \times 10^{2}

Conversion Equation

1.0 (p e c k) \approx 5.9579 \times 10^{2} (t a b l e s p o o n)

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