Fractions in Google Docs equations are too small to read:
How can I write normal-sized fraction?
Google Docs – Increase Fraction Size in Equations
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Related Solutions
cases isn't natively supported by Google Documents as you can see in the list of supported LaTeX operators†. Some projects try to extend GDoc's LaTeX capabilities.
† Not at present, but Wayback Machine has a copy: https://web.archive.org/web/20160409034821/https://support.google.com/docs/answer/160749?hl=en
Of course. At the top of that list under Tools > Preferences are two blank spaces for you to add the "Replace" and "With" values.
Of course, you'll need to be able to paste a single character for the "neater looking" fraction. You can use the character map that comes with most OSes, or there are a few sites out there that can display lots of different characters for you. (Unfortunately, it seems that in most cases there are only fractions available for halves, thirds, quarters, fifths, sixths, and eighths, which Google already has in the list.)
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Best Answer
Ugly equation:
Left side: one usage of equation builder. Increase font size.
Right side: use another instance of equation builder.
In this example, 30px on the left, 18px on the right. The formula writer tried to keep the box (container for formula) the same height as the rest of the line height; shrink to fit.