Convert dram to crith

Learn how to convert 1 dram to crith step by step.

Calculation Breakdown

Set up the equation

1.0 (d r a m) = x (c r i t h)

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 (d r a m) = 3.41 \times 10^{- 3} (k i l o g r a m) = 3.41 \times 10^{- 3} (k g)

Right side: 1.0 (c r i t h) = 9.0 \times 10^{- 5} (k i l o g r a m) = 9.0 \times 10^{- 5} (k g)

Insert known values into the conversion equation to determine

x

1.0 (d r a m) = x (c r i t h)

Insert known values =>

1.0 \times 3.41 \times 10^{- 3} \times (k i l o g r a m) = x \times 9.0 \times 10^{- 5} \times (k i l o g r a m)

Or

1.0 \cdot 3.41 \times 10^{- 3} \cdot (k g) = x \cdot 9.0 \times 10^{- 5} \cdot (k g)

Cancel SI units

1.0 \times 3.41 \times 10^{- 3} \cdot (k g) = x \times 9.0 \times 10^{- 5} \times (k g)

Conversion Equation

3.41 \times 10^{- 3} = x \times 9.0 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

3.41 \times 10^{- 3} = x \times 9.0 \times {10^{- 5}}^{10^{- 2}}

Simplify

3.41 = x \times 9.0 \times 10^{- 2}

Switch sides

x \times 9.0 \times 10^{- 2} = 3.41

Isolate

x

Multiply both sides by

(\frac{1.0}{9.0 \times 10^{- 2}})

x \times 9.0 \times 10^{- 2} \times \frac{1.0}{9.0 \times 10^{- 2}} = 3.41 \times \frac{1.0}{9.0 \times 10^{- 2}}

Cancel

x \times 9.0 \times 10^{- 2} \times \frac{1.0}{9.0 \times 10^{- 2}} = 3.41 \times \frac{1.0}{9.0 \times 10^{- 2}}

Simplify

x = \frac{3.41}{9.0 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 3.41}{9.0}

Solve

x

x \approx 37.888888889 \approx 37.8889

Conversion Equation

1.0 (d r a m) \approx 37.8889 (c r i t h)

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