The most useful rules of basic algebra,
free, simple, & intuitively organized

Howdy! Here are a few very handy rules of algebra. These basic rules are useful for everything from figuring out your gas mileage to acing your next math test — or even solving equations from the far reaches of theoretical physics. Happy calculating!

Algebra Rule 8

Split a fraction with an addition in the numerator into two fractions

```{(a+b) \over c} = {a \over c} + {b \over c}```

This is simply a result of the fact that two fractions with common denominators can be added by adding the numerators and leaving the denominator unchanged. It is intuitively simple: 1 third plus 2 thirds is 3 thirds. The reverse is also true: 3 thirds minus 2 thirds equals 1 third.

```{(1+2) \over 4} = {3 \over 4} = {1 \over 4} + {2 \over 4}```
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A little bit about

Algebra rules is a project by two of the folks who run The Autodidacts.

A couple of autodidact math enthusiasts, we were looking for all the rules of basic algebra concisely presented in one place. We couldn’t find such a place, so we made

These simple rules — applied with a pinch of imagination and a dash of arithmetic — can divide, conquer, and solve just about any practical algebra problem.

If you find errata in the math, bugs in the code of, or just want to say Eh, please send us a letter or join us on our roost: @rulesofalgebra.