Fractions and Their Operations Fractions and Their Operations


A fraction corresponds to a number of the form

\[ \displaystyle{\frac{a}{b}}\]

where \(a\) and \(b\) are integer numbers, and it can be thought as “\(a\) divided by \(b\)”. For example, the numbers

\[ \displaystyle{\frac{3}{4}}, \displaystyle{\frac{8}{9}}, \displaystyle{\frac{-3}{4}}\]

are fractions. The only restriction for the fraction \( \displaystyle{\frac{a}{b}}\) is that \(b \neq 0\), because in that case the fraction is undefined.

Sum of Fractions

The easiest case is when the denominators coincide. In fact, in that case, we find that:

 

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