We now present two different methods for unwrapping a fractional part into mixed units.
Suppose now that we wish to convert `5\frac{7}{9}` yards into yard, feet, and inches.
In the first method, we proceed by splitting into whole and fractional parts, and rewriting the fractional part in smaller units, e.g
`\qquad\qquad\qquad 5" yards" + 7/9" yards" = 5" yards" + 7/3" feet",`
`\qquad\qquad\qquad\qquad = 5" yards" + 2 1/3" feet,"`
`\qquad\qquad\qquad\qquad = 5" yards" + 2" feet" + 1/3" feet,"`
`\qquad\qquad\qquad\qquad = 5" yards" + 2" feet" + 4" inches."`
In the second method, we first multiply `5\frac{7}{9}`, by `3` and by `12`, to get `208`, and then we use successive division as in the last posting. We can even shorten this method by extracting the `5` first, multiplying just the `\frac{7}{9}` by `3` and by `12` to get `28`, and then dividing as before; this spares us the last division : `28 = 2_{12}4.`
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