Convert bag to ounce

Learn how to convert 1 bag to ounce step by step.

Calculation Breakdown

Set up the equation

1.0 (b a g) = x (o u n c 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 (b a g) = 39.689332375 (k i l o g r a m) = 39.689332375 (k g)

Right side: 1.0 (o u n c e) = 5.0 \times 10^{- 2} (k i l o g r a m) = 5.0 \times 10^{- 2} (k g)

Insert known values into the conversion equation to determine

x

1.0 (b a g) = x (o u n c e)

Insert known values =>

1.0 \times 39.689332375 \times (k i l o g r a m) = x \times 5.0 \times 10^{- 2} \times (k i l o g r a m)

Or

1.0 \cdot 39.689332375 \cdot (k g) = x \cdot 5.0 \times 10^{- 2} \cdot (k g)

Cancel SI units

1.0 \times 39.689332375 \cdot (k g) = x \times 5.0 \times 10^{- 2} \times (k g)

Conversion Equation

39.689332375 = x \times 5.0 \times 10^{- 2}

Switch sides

x \times 5.0 \times 10^{- 2} = 39.689332375

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 2}})

x \times 5.0 \times 10^{- 2} \times \frac{1.0}{5.0 \times 10^{- 2}} = 39.689332375 \times \frac{1.0}{5.0 \times 10^{- 2}}

Cancel

x \times 5.0 \times 10^{- 2} \times \frac{1.0}{5.0 \times 10^{- 2}} = 39.689332375 \times \frac{1.0}{5.0 \times 10^{- 2}}

Simplify

x = \frac{39.689332375}{5.0 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 39.689332375}{5.0}

Solve

x

x = 793.7866475 \approx 7.9379 \times 10^{2}

Conversion Equation

1.0 (b a g) \approx 7.9379 \times 10^{2} (o u n c e)

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