Convert dram to cup

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

Calculation Breakdown

Set up the equation

1.0 (d r a m) = 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 (d r a m) = 3.6966911953125 \times 10^{- 6} (c u b i c m e t e r) = 3.6966911953125 \times 10^{- 6} (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (d r a m) = x (c u p)

Insert known values =>

1.0 \times 3.6966911953125 \times 10^{- 6} \times (c u b i c m e t e r) = x \times 2.365882365 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 3.6966911953125 \times 10^{- 6} \cdot (m^{3}) = x \cdot 2.365882365 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 3.6966911953125 \times 10^{- 6} \cdot (m^{3}) = x \times 2.365882365 \times 10^{- 4} \times (m^{3})

Conversion Equation

3.6966911953125 \times 10^{- 6} = x \times 2.365882365 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

3.6966911953125 \times {10^{- 6}}^{10^{- 2}} = x \times 2.365882365 \times 10^{- 4}

Simplify

3.6966911953125 \times 10^{- 2} = x \times 2.365882365

Switch sides

x \times 2.365882365 = 3.6966911953125 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.365882365})

x \times 2.365882365 \times \frac{1.0}{2.365882365} = 3.6966911953125 \times 10^{- 2} \times \frac{1.0}{2.365882365}

Cancel

x \times 2.365882365 \times \frac{1.0}{2.365882365} = 3.6966911953125 \times 10^{- 2} \times \frac{1.0}{2.365882365}

Simplify

x = \frac{3.6966911953125 \times 10^{- 2}}{2.365882365}

Solve

x

x = 0.015625 = 1.5625 \times 10^{- 2}

Conversion Equation

1.0 (d r a m) = 1.5625 \times 10^{- 2} (c u p)

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