Convert fifth to cup

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

Calculation Breakdown

Set up the equation

1.0 (f i f t h) = 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 (f i f t h) = 7.570823568 \times 10^{- 4} (c u b i c m e t e r) = 7.570823568 \times 10^{- 4} (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (f i f t h) = x (c u p)

Insert known values =>

1.0 \times 7.570823568 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 2.273045 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \cdot 2.273045 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \times 2.273045 \times 10^{- 4} \times (m^{3})

Conversion Equation

7.570823568 \times 10^{- 4} = x \times 2.273045 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

7.570823568 \times 10^{- 4} = x \times 2.273045 \times 10^{- 4}

Simplify

7.570823568 = x \times 2.273045

Switch sides

x \times 2.273045 = 7.570823568

Isolate

x

Multiply both sides by

(\frac{1.0}{2.273045})

x \times 2.273045 \times \frac{1.0}{2.273045} = 7.570823568 \times \frac{1.0}{2.273045}

Cancel

x \times 2.273045 \times \frac{1.0}{2.273045} = 7.570823568 \times \frac{1.0}{2.273045}

Simplify

x = \frac{7.570823568}{2.273045}

Solve

x

x \approx 3.3306967385 \approx 3.3307

Conversion Equation

1.0 (f i f t h) \approx 3.3307 (c u p)

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