Convert carat to tonne

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (t o n n e) = 907.18474 (k i l o g r a m) = 907.18474 (k g)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2.5919564 \times 10^{- 4} \times (k i l o g r a m) = x \times 907.18474 \times (k i l o g r a m)

Or

1.0 \cdot 2.5919564 \times 10^{- 4} \cdot (k g) = x \cdot 907.18474 \cdot (k g)

Cancel SI units

1.0 \times 2.5919564 \times 10^{- 4} \cdot (k g) = x \times 907.18474 \times (k g)

Conversion Equation

2.5919564 \times 10^{- 4} = x \times 907.18474

Switch sides

x \times 907.18474 = 2.5919564 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{907.18474})

x \times 907.18474 \times \frac{1.0}{907.18474} = 2.5919564 \times 10^{- 4} \times \frac{1.0}{907.18474}

Cancel

x \times 907.18474 \times \frac{1.0}{907.18474} = 2.5919564 \times 10^{- 4} \times \frac{1.0}{907.18474}

Simplify

x = \frac{2.5919564 \times 10^{- 4}}{907.18474}

Solve

x

x \approx 0.0000002857 \approx 2.8571 \times 10^{- 7}

Conversion Equation

1.0 (c a r a t) \approx 2.8571 \times 10^{- 7} (t o n n e)

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