What is this formula called

[copper bloom]

It is an application of cross multiplication

When you are adding two different denominators you can multiply both the numerator and the denominator of one fraction by the denominator of the other fraction and vice versa

This ensures you are working with the same base

Then you can simply merge together the fractions now that the bases are the same

The proper term for this is the fraction addition formula i believe

$a/b + c/d = ({ad + bc})/bd$

[ebon parrot]

M̶o̶t̶i̶v̶e̶s̶:̶ U̶n̶k̶n̶o̶w̶n ❓

[copper bloom]

👍

[frail thorn]

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