Question

Express the following rational numbers to the lowest terms: ${\displaystyle \frac{-120}{144}}$

Answer 1

${\displaystyle \frac{-120}{144}}$

${\displaystyle 120)\overline{144}(1}$
         120  
   ${\displaystyle 24)\overline{120}(5}$
         120 
            X  

(Dividing by 24, H.C.F. of - 120 and 144)

${\displaystyle \Rightarrow \frac{-120÷24}{144÷24}=\frac{-5}{6}}$