Convert assay ton to dram

Learn how to convert 1 assay ton to dram step by step.

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o 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 (a s s a y t o n) = \frac{7.0}{2.4 \times 10^{2}} (k i l o g r a m) = \frac{7.0}{2.4 \times 10^{2}} (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 (a s s a y t o n) = x (d r a m)

Insert known values =>

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \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 \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \cdot 3.8879346 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \times 3.8879346 \times 10^{- 3} \times (k g)

Conversion Equation

\frac{7.0}{2.4 \times 10^{2}} = x \times 3.8879346 \times 10^{- 3}

Switch sides

x \times 3.8879346 \times 10^{- 3} = \frac{7.0}{2.4 \times 10^{2}}

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}} = \frac{7.0}{2.4 \times 10^{2}} \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}} = \frac{7.0 \times 1.0}{2.4 \times 10^{2} \times 3.8879346 \times {10^{- 3}}^{10^{- 1}}}

Simplify

x = \frac{7.0}{2.4 \times 3.8879346 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 7.0}{2.4 \times 3.8879346}

Solve

x

x \approx 7.501840866 \approx 7.5018

Conversion Equation

1.0 (a s s a y t o n) \approx 7.5018 (d r a m)

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