Convert carat to troy

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

Calculation Breakdown

Set up the equation

1.0 (c a r a t) = x (t r o y)

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) = 2.5919564 \times 10^{- 4} (k i l o g r a m) = 2.5919564 \times 10^{- 4} (k g)

Right side: 1.0 (t r o y) = 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 (c a r a t) = x (t r o y)

Insert known values =>

1.0 \times 2.5919564 \times 10^{- 4} \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 2.5919564 \times 10^{- 4} \cdot (k g) = x \cdot 0.3732417216 \cdot (k g)

Cancel SI units

1.0 \times 2.5919564 \times 10^{- 4} \cdot (k g) = x \times 0.3732417216 \times (k g)

Conversion Equation

2.5919564 \times 10^{- 4} = x \times 0.3732417216

Switch sides

x \times 0.3732417216 = 2.5919564 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.3732417216})

x \times 0.3732417216 \times \frac{1.0}{0.3732417216} = 2.5919564 \times 10^{- 4} \times \frac{1.0}{0.3732417216}

Cancel

x \times 0.3732417216 \times \frac{1.0}{0.3732417216} = 2.5919564 \times 10^{- 4} \times \frac{1.0}{0.3732417216}

Simplify

x = \frac{2.5919564 \times 10^{- 4}}{0.3732417216}

Solve

x

x \approx 0.0006944444 \approx 6.9444 \times 10^{- 4}

Conversion Equation

1.0 (c a r a t) \approx 6.9444 \times 10^{- 4} (t r o y)

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