Convert carat to ounce

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

Calculation Breakdown

Set up the equation

1.0 (c a r a t) = 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 (c a r a t) = 2.0 \times 10^{- 4} (k i l o g r a m) = 2.0 \times 10^{- 4} (k g)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2.0 \times 10^{- 4} \times (k i l o g r a m) = x \times 2.8349523125 \times 10^{- 2} \times (k i l o g r a m)

Or

1.0 \cdot 2.0 \times 10^{- 4} \cdot (k g) = x \cdot 2.8349523125 \times 10^{- 2} \cdot (k g)

Cancel SI units

1.0 \times 2.0 \times 10^{- 4} \cdot (k g) = x \times 2.8349523125 \times 10^{- 2} \times (k g)

Conversion Equation

2.0 \times 10^{- 4} = x \times 2.8349523125 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

2.0 \times {10^{- 4}}^{10^{- 2}} = x \times 2.8349523125 \times 10^{- 2}

Simplify

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

Switch sides

x \times 2.8349523125 = 2.0 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.8349523125})

x \times 2.8349523125 \times \frac{1.0}{2.8349523125} = 2.0 \times 10^{- 2} \times \frac{1.0}{2.8349523125}

Cancel

x \times 2.8349523125 \times \frac{1.0}{2.8349523125} = 2.0 \times 10^{- 2} \times \frac{1.0}{2.8349523125}

Simplify

x = \frac{2.0 \times 10^{- 2}}{2.8349523125}

Solve

x

x \approx 0.0070547924 \approx 7.0548 \times 10^{- 3}

Conversion Equation

1.0 (c a r a t) \approx 7.0548 \times 10^{- 3} (o u n c e)

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