Convert dram to ounce

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

Calculation Breakdown

Set up the equation

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

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) = 4.37 \times 10^{- 3} (k i l o g r a m) = 4.37 \times 10^{- 3} (k g)

Right side: 1.0 (o u n c e) = 2.80668 \times 10^{- 2} (k i l o g r a m) = 2.80668 \times 10^{- 2} (k g)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.37 \times 10^{- 3} \times (k i l o g r a m) = x \times 2.80668 \times 10^{- 2} \times (k i l o g r a m)

Or

1.0 \cdot 4.37 \times 10^{- 3} \cdot (k g) = x \cdot 2.80668 \times 10^{- 2} \cdot (k g)

Cancel SI units

1.0 \times 4.37 \times 10^{- 3} \cdot (k g) = x \times 2.80668 \times 10^{- 2} \times (k g)

Conversion Equation

4.37 \times 10^{- 3} = x \times 2.80668 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

4.37 \times {10^{- 3}}^{10^{- 1}} = x \times 2.80668 \times 10^{- 2}

Simplify

4.37 \times 10^{- 1} = x \times 2.80668

Switch sides

x \times 2.80668 = 4.37 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.80668})

x \times 2.80668 \times \frac{1.0}{2.80668} = 4.37 \times 10^{- 1} \times \frac{1.0}{2.80668}

Cancel

x \times 2.80668 \times \frac{1.0}{2.80668} = 4.37 \times 10^{- 1} \times \frac{1.0}{2.80668}

Simplify

x = \frac{4.37 \times 10^{- 1}}{2.80668}

Solve

x

x \approx 0.1556999729 \approx 1.557 \times 10^{- 1}

Conversion Equation

1.0 (d r a m) \approx 1.557 \times 10^{- 1} (o u n c e)

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