Answer: [tex]2\dfrac1{12}[/tex] pies has left to serve.
Step-by-step explanation:
Total pies = 10
Pies served:
Cherry pies = [tex]2\dfrac34[/tex]
Peach pies = [tex]1\dfrac23[/tex]
Apple pies = [tex]3\dfrac12[/tex]
Total amount pies has left = (Total pies ) - (Cherry pies + Peach pies + Apple pies)
[tex]=10-(2\dfrac34+1\dfrac23+3\dfrac12)\\\\=10-(\dfrac{11}{4}+\dfrac{5}{3}+\dfrac{7}{2})\\\\=10-(\dfrac{33+20+42}{12})\\\\=10-(\dfrac{95}{12})\\\\=\dfrac{120-95}{12}\\\\=\dfrac{25}{12}\\\\=2\dfrac{1}{12}[/tex]
Hence, [tex]2\dfrac1{12}[/tex] pies has left to serve.
