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  title: '"This relies on a principle "other way" introduc..."',
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  anchorContext: 'Remember, $\\frac{a}{m}$ is made of $a$ copies of pieces of size $\\frac{1}{m}$; so what we do is cut all of the $\\frac{1}{m}$\\-chunks individually into $n$ pieces, and then give everyone $a$ of the little pieces we've made\\.\nBut "cut a $\\frac{1}{m}$\\-chunk into $n$ pieces" is just "cut an apple into $n$ pieces, but instead of doing it to one apple, do it to a $\\frac{1}{m}$\\-chunk": that is, it is $\\frac{1}{m} \\times \\frac{1}{n}$, or $\\frac{1}{m \\times n}$\\.',
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  text: 'This relies on a principle "other way" introduces but, in my opinion, is not explicit enough about: $\\frac{n}{m} = n \\times \\frac{1}{m}$. Could this be made more explicit at the end of the "other way" section? e.g. "What we've really shown here is that $\\frac{n}{m} = n \\times \\frac{1}{m}$".',
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