Answer :

[tex]\frac{15}{18}+\frac{1}{2}-\frac{1}{3}-\frac{2}{6}=\frac{5}{6}+\frac{1}{2}-\frac{1}{3}-\frac{1}{3}=\frac{5}{6}+\frac{1}{2}-\frac{2}{3}=(*)\\\\LCD(\frac{5}{6};\ \frac{1}{2};\ \frac{2}{3})=6\\\\\frac{1}{2}=\frac{3}{6};\ \frac{2}{3}=\frac{4}{6}\\\\(*)=\frac{5}{6}+\frac{3}{6}-\frac{4}{6}=\frac{5+3-4}{6}=\frac{4}{6}=\frac{2}{3}[/tex]
mmc: 18

15/18 + 1/2 - 1/3 - 2/6 =


18 / 18 = 1... 1x15= 15 -----> 15/18
18 / 2 = 9... 9x1= 9 -------> 9/18
18 / 3 = 6... 6x1= 6 -------> 6/18
18 / 6 = 3... 3x2= 6 -------> 6/18

15/18 + 9/18 + 6/18 + 6/18 = 36/18= 2

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