Convert carat to last

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

Calculation Breakdown

Set up the equation

1.0 (c a r a t) = x (l a s t)

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 (l a s t) = 1814.36948 (k i l o g r a m) = 1814.36948 (k g)

Insert known values into the conversion equation to determine

x

1.0 (c a r a t) = x (l a s t)

Insert known values =>

1.0 \times 2.5919564 \times 10^{- 4} \times (k i l o g r a m) = x \times 1814.36948 \times (k i l o g r a m)

Or

1.0 \cdot 2.5919564 \times 10^{- 4} \cdot (k g) = x \cdot 1814.36948 \cdot (k g)

Cancel SI units

1.0 \times 2.5919564 \times 10^{- 4} \cdot (k g) = x \times 1814.36948 \times (k g)

Conversion Equation

2.5919564 \times 10^{- 4} = x \times 1814.36948

Switch sides

x \times 1814.36948 = 2.5919564 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{1814.36948})

x \times 1814.36948 \times \frac{1.0}{1814.36948} = 2.5919564 \times 10^{- 4} \times \frac{1.0}{1814.36948}

Cancel

x \times 1814.36948 \times \frac{1.0}{1814.36948} = 2.5919564 \times 10^{- 4} \times \frac{1.0}{1814.36948}

Simplify

x = \frac{2.5919564 \times 10^{- 4}}{1814.36948}

Solve

x

x \approx 0.0000001429 \approx 1.4286 \times 10^{- 7}

Conversion Equation

1.0 (c a r a t) \approx 1.4286 \times 10^{- 7} (l a s t)

View All Examples