Convert quartern to dram

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

Calculation Breakdown

Set up the equation

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

Define the base values of the selected units in relation to the SI unit

(k i l o g r a m)

Left side: 1.0 (q u a r t e r n) = 1.587573295 (k i l o g r a m) = 1.587573295 (k g)

Right side: 1.0 (d r a m) = 3.8879346 \times 10^{- 3} (k i l o g r a m) = 3.8879346 \times 10^{- 3} (k g)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.587573295 \times (k i l o g r a m) = x \times 3.8879346 \times 10^{- 3} \times (k i l o g r a m)

Or

1.0 \cdot 1.587573295 \cdot (k g) = x \cdot 3.8879346 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times 1.587573295 \cdot (k g) = x \times 3.8879346 \times 10^{- 3} \times (k g)

Conversion Equation

1.587573295 = x \times 3.8879346 \times 10^{- 3}

Switch sides

x \times 3.8879346 \times 10^{- 3} = 1.587573295

Isolate

x

Multiply both sides by

(\frac{1.0}{3.8879346 \times 10^{- 3}})

x \times 3.8879346 \times 10^{- 3} \times \frac{1.0}{3.8879346 \times 10^{- 3}} = 1.587573295 \times \frac{1.0}{3.8879346 \times 10^{- 3}}

Cancel

x \times 3.8879346 \times 10^{- 3} \times \frac{1.0}{3.8879346 \times 10^{- 3}} = 1.587573295 \times \frac{1.0}{3.8879346 \times 10^{- 3}}

Simplify

x = \frac{1.587573295}{3.8879346 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 1.587573295}{3.8879346}

Solve

x

x \approx 408.33333333 \approx 4.0833 \times 10^{2}

Conversion Equation

1.0 (q u a r t e r n) \approx 4.0833 \times 10^{2} (d r a m)

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