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  "body": "\n## Example\n\nThe [[field of fractions|0VF11ZTTMD]] of the [[ring of integers|0JHM6JK7FD]] $\\mathbb{Z}$ is the field $\\mathbb{Q}$ of rational numbers.\nEach element of $\\operatorname{Frac}(\\mathbb{Z})$ is a class $a/b$ with $a, b \\in \\mathbb{Z}$ and $b \\neq 0$.\nTwo pairs give the same class, $a/b = c/d$, if and only if $a d = b c$.\nThe map $\\mathbb{Z} \\to \\mathbb{Q}$, $n \\mapsto n/1$, is the usual inclusion of the integers in the rationals.\n\n## Remarks\n\nEvery rational number has a unique form $a/b$ with $b \u003e 0$ and $\\gcd(a, b) = 1$.\nEvery subfield of $\\mathbb{C}$ contains $\\mathbb{Z}$, so it contains $\\mathbb{Q}$, by the universal property of the field of fractions.\n\n## Explanations\n\n### L1 human\n\nThe rational numbers are exactly the fractions of integers.\nThe field of fractions makes this precise for any integral domain.\nThe fractions $1/2$, $2/4$ and $-3/(-6)$ all name the same rational number.\n",
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