Answer: [tex]\frac{11}{60}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} -\frac{1}{4} +\frac{3}{5} -\frac{5}{6}[/tex]
Need a common denominator; the LCD of 3, 4, 5, and 6 is: 60
[tex]\frac{2}{3}(\frac{20}{20}) -\frac{1}{4}(\frac{15}{15}) +\frac{3}{5}(\frac{12}{12}) -\frac{5}{6}(\frac{10}{10})[/tex]
= [tex]\frac{40}{60} -\frac{15}{60} +\frac{36}{60} -\frac{50}{60}[/tex]
= [tex]\frac{40-15+36-50}{60}[/tex]
= [tex]\frac{11}{60}[/tex]
