Given
[tex]\frac{5}{9}-\frac{1}{6}[/tex]
We find the least common multiple of 6 and 9:
[tex]\begin{gathered} \text{For 6:} \\ 6\times1=6 \\ 6\times2=12 \\ 6\times3=18 \\ \text{For 9: } \\ 9\times1=9 \\ 9\times2=18 \end{gathered}[/tex]
The common number is 18, therefore we rewrite the fractions according to the common number:
[tex]\frac{5\times2}{9\times2}-\frac{1\times3}{6\times3}=\frac{10}{18}-\frac{3}{18}[/tex]
Apply properties of fractions:
[tex]\begin{gathered} \frac{10-3}{18} \\ \text{subctract 10-3} \\ \frac{7}{18} \end{gathered}[/tex]
Answer: 7/18
