Convert carat to kan(貫)

Learn how to convert 1 carat to kan(貫) step by step.

Calculation Breakdown

Set up the equation

1.0 (c a r a t) = x (k a n (貫))

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 (k a n (貫)) = 3.75 (k i l o g r a m) = 3.75 (k g)

Insert known values into the conversion equation to determine

x

1.0 (c a r a t) = x (k a n (貫))

Insert known values =>

1.0 \times 2.0 \times 10^{- 4} \times (k i l o g r a m) = x \times 3.75 \times (k i l o g r a m)

Or

1.0 \cdot 2.0 \times 10^{- 4} \cdot (k g) = x \cdot 3.75 \cdot (k g)

Cancel SI units

1.0 \times 2.0 \times 10^{- 4} \cdot (k g) = x \times 3.75 \times (k g)

Conversion Equation

2.0 \times 10^{- 4} = x \times 3.75

Switch sides

x \times 3.75 = 2.0 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.75})

x \times 3.75 \times \frac{1.0}{3.75} = 2.0 \times 10^{- 4} \times \frac{1.0}{3.75}

Cancel

x \times 3.75 \times \frac{1.0}{3.75} = 2.0 \times 10^{- 4} \times \frac{1.0}{3.75}

Simplify

x = \frac{2.0 \times 10^{- 4}}{3.75}

Solve

x

x \approx 0.0000533333 \approx 5.3333 \times 10^{- 5}

Conversion Equation

1.0 (c a r a t) \approx 5.3333 \times 10^{- 5} (k a n (貫))

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