Convert grain to pound

Learn how to convert 1 grain to pound step by step.

Calculation Breakdown

Set up the equation

1.0 (g r a i n) = x (p o u n d)

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 (g r a i n) = 6.479891 \times 10^{- 5} (k i l o g r a m) = 6.479891 \times 10^{- 5} (k g)

Right side: 1.0 (p o u n d) = 0.5 (k i l o g r a m) = 0.5 (k g)

Insert known values into the conversion equation to determine

x

1.0 (g r a i n) = x (p o u n d)

Insert known values =>

1.0 \times 6.479891 \times 10^{- 5} \times (k i l o g r a m) = x \times 0.5 \times (k i l o g r a m)

Or

1.0 \cdot 6.479891 \times 10^{- 5} \cdot (k g) = x \cdot 0.5 \cdot (k g)

Cancel SI units

1.0 \times 6.479891 \times 10^{- 5} \cdot (k g) = x \times 0.5 \times (k g)

Conversion Equation

6.479891 \times 10^{- 5} = x \times 0.5

Switch sides

x \times 0.5 = 6.479891 \times 10^{- 5}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.5})

x \times 0.5 \times \frac{1.0}{0.5} = 6.479891 \times 10^{- 5} \times \frac{1.0}{0.5}

Cancel

x \times 0.5 \times \frac{1.0}{0.5} = 6.479891 \times 10^{- 5} \times \frac{1.0}{0.5}

Simplify

x = \frac{6.479891 \times 10^{- 5}}{0.5}

Solve

x

x \approx 0.0001295978 \approx 1.296 \times 10^{- 4}

Conversion Equation

1.0 (g r a i n) \approx 1.296 \times 10^{- 4} (p o u n d)

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