Convert cup to quarter

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = x (q u a r t e r)

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 (q u a r t e r) = 2.9094976 \times 10^{- 1} (c u b i c m e t e r) = 2.9094976 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u p) = x (q u a r t e r)

Insert known values =>

1.0 \times 2.273045 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 2.9094976 \times 10^{- 1} \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 2.9094976 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \times 2.9094976 \times 10^{- 1} \times (m^{3})

Conversion Equation

2.273045 \times 10^{- 4} = x \times 2.9094976 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

2.273045 \times {10^{- 4}}^{10^{- 3}} = x \times 2.9094976 \times 10^{- 1}

Simplify

2.273045 \times 10^{- 3} = x \times 2.9094976

Switch sides

x \times 2.9094976 = 2.273045 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.9094976})

x \times 2.9094976 \times \frac{1.0}{2.9094976} = 2.273045 \times 10^{- 3} \times \frac{1.0}{2.9094976}

Cancel

x \times 2.9094976 \times \frac{1.0}{2.9094976} = 2.273045 \times 10^{- 3} \times \frac{1.0}{2.9094976}

Simplify

x = \frac{2.273045 \times 10^{- 3}}{2.9094976}

Solve

x

x = 0.00078125 = 7.8125 \times 10^{- 4}

Conversion Equation

1.0 (c u p) = 7.8125 \times 10^{- 4} (q u a r t e r)

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