Convert ounce to pound

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

Calculation Breakdown

Set up the equation

1.0 (o u n c e) = 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 (o u n c e) = 2.8349523125 \times 10^{- 2} (k i l o g r a m) = 2.8349523125 \times 10^{- 2} (k g)

Right side: 1.0 (p o u n d) = 0.5 (k i l o g r a m) = 0.5 (k g)

Insert known values into the conversion equation to determine

x

1.0 (o u n c e) = x (p o u n d)

Insert known values =>

1.0 \times 2.8349523125 \times 10^{- 2} \times (k i l o g r a m) = x \times 0.5 \times (k i l o g r a m)

Or

1.0 \cdot 2.8349523125 \times 10^{- 2} \cdot (k g) = x \cdot 0.5 \cdot (k g)

Cancel SI units

1.0 \times 2.8349523125 \times 10^{- 2} \cdot (k g) = x \times 0.5 \times (k g)

Conversion Equation

2.8349523125 \times 10^{- 2} = x \times 0.5

Switch sides

x \times 0.5 = 2.8349523125 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.5})

x \times 0.5 \times \frac{1.0}{0.5} = 2.8349523125 \times 10^{- 2} \times \frac{1.0}{0.5}

Cancel

x \times 0.5 \times \frac{1.0}{0.5} = 2.8349523125 \times 10^{- 2} \times \frac{1.0}{0.5}

Simplify

x = \frac{2.8349523125 \times 10^{- 2}}{0.5}

Solve

x

x \approx 0.0566990462 \approx 5.6699 \times 10^{- 2}

Conversion Equation

1.0 (o u n c e) \approx 5.6699 \times 10^{- 2} (p o u n d)

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