Convert dram to pound

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

Calculation Breakdown

Set up the equation

1.0 (d r a m) = x (p o u n d)

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 (d r a m) = 3.41 \times 10^{- 3} (k i l o g r a m) = 3.41 \times 10^{- 3} (k g)

Right side: 1.0 (p o u n d) = 0.3732417216 (k i l o g r a m) = 0.3732417216 (k g)

Insert known values into the conversion equation to determine

x

1.0 (d r a m) = x (p o u n d)

Insert known values =>

1.0 \times 3.41 \times 10^{- 3} \times (k i l o g r a m) = x \times 0.3732417216 \times (k i l o g r a m)

Or

1.0 \cdot 3.41 \times 10^{- 3} \cdot (k g) = x \cdot 0.3732417216 \cdot (k g)

Cancel SI units

1.0 \times 3.41 \times 10^{- 3} \cdot (k g) = x \times 0.3732417216 \times (k g)

Conversion Equation

3.41 \times 10^{- 3} = x \times 0.3732417216

Switch sides

x \times 0.3732417216 = 3.41 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.3732417216})

x \times 0.3732417216 \times \frac{1.0}{0.3732417216} = 3.41 \times 10^{- 3} \times \frac{1.0}{0.3732417216}

Cancel

x \times 0.3732417216 \times \frac{1.0}{0.3732417216} = 3.41 \times 10^{- 3} \times \frac{1.0}{0.3732417216}

Simplify

x = \frac{3.41 \times 10^{- 3}}{0.3732417216}

Solve

x

x \approx 0.0091361705 \approx 9.1362 \times 10^{- 3}

Conversion Equation

1.0 (d r a m) \approx 9.1362 \times 10^{- 3} (p o u n d)

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