# How many ounces are in a gram?

##### 1 Answer
Apr 6, 2016

Approximately $0.035$, or more accurately about $0.035274$

#### Explanation:

We can get a rough approximation starting with the facts:
1. One kilogram is about $2.2$ pounds.
2. One pound is $16$ ounces.
3. One kilogram is $1000$ grams.

So the number of ounces in a kilogram is about $2.2 \cdot 16 = 35.2$ and in a gram is therefore about $\frac{35}{1000} = 0.035$

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For a much more accurate approximation, start with:
1. One pound is exactly $453.59237$ grams.
2. One pound is exactly $16$ ounces.

So the number of grams in an ounce is exactly:

$\frac{453.59237}{16} = 28.349523125$

The number of ounces in a gram is the reciprocal of this:

$\frac{1}{28.349523125} \approx 0.035274$