Convert quarter to dram

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

Calculation Breakdown

Set up the equation

1.0 (q u a r t e r) = x (d r a m)

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 (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})

Right side: 1.0 (d r a m) = 3.5516328125 \times 10^{- 6} (c u b i c m e t e r) = 3.5516328125 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (q u a r t e r) = x (d r a m)

Insert known values =>

1.0 \times 2.9094976 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 3.5516328125 \times 10^{- 6} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.9094976 \times 10^{- 1} \cdot (m^{3}) = x \cdot 3.5516328125 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 2.9094976 \times 10^{- 1} \cdot (m^{3}) = x \times 3.5516328125 \times 10^{- 6} \times (m^{3})

Conversion Equation

2.9094976 \times 10^{- 1} = x \times 3.5516328125 \times 10^{- 6}

Cancel factors on both sides

Cancel factors

2.9094976 \times 10^{- 1} = x \times 3.5516328125 \times {10^{- 6}}^{10^{- 5}}

Simplify

2.9094976 = x \times 3.5516328125 \times 10^{- 5}

Switch sides

x \times 3.5516328125 \times 10^{- 5} = 2.9094976

Isolate

x

Multiply both sides by

(\frac{1.0}{3.5516328125 \times 10^{- 5}})

x \times 3.5516328125 \times 10^{- 5} \times \frac{1.0}{3.5516328125 \times 10^{- 5}} = 2.9094976 \times \frac{1.0}{3.5516328125 \times 10^{- 5}}

Cancel

x \times 3.5516328125 \times 10^{- 5} \times \frac{1.0}{3.5516328125 \times 10^{- 5}} = 2.9094976 \times \frac{1.0}{3.5516328125 \times 10^{- 5}}

Simplify

x = \frac{2.9094976}{3.5516328125 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 2.9094976}{3.5516328125}

Solve

x

x = 81920 = 8.192 \times 10^{4}

Conversion Equation

1.0 (q u a r t e r) = 8.192 \times 10^{4} (d r a m)

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