A)
[tex]x = \frac{15}{100} + \frac{49}{1000} + \frac{536}{10} [/tex]
[tex]x = \frac{15 \times 10 +49 + 536 \times 100 }{1000} [/tex]
[tex]x = \frac{150 + 49 + 53600}{1000} [/tex]
[tex]x = \frac{53799}{1000} = 53.799[/tex]
[tex]y = \frac{7}{10} + \frac{25}{2} + \frac{3}{8} [/tex]
[tex]y = \frac{8 \times 7 + 40 \times 25 +10 \times 3 }{80} [/tex]
[tex]y = \frac{56 + 1000 + 30}{80} [/tex]
[tex]y = \frac{1086}{80} = 13.575[/tex]
[tex]x > y[/tex]
B)
[tex]x = \frac{35}{10} + \frac{17}{5} + \frac{36}{16} [/tex]
[tex]x = \frac{16 \times 35 +32 \times 17 + 10 \times36 }{160} [/tex]
[tex]x = \frac{560 + 544 +360 }{160} [/tex]
[tex]x = \frac{1464}{160} = 9.15[/tex]
[tex]y = \frac{28}{5} + \frac{164}{25} + \frac{11}{20} [/tex]
[tex]y = \frac{100 \times 8 +20 \times 164 + 25 \times11 }{500} [/tex]
[tex]y = \frac{800 + 3280 + 275}{500} [/tex]
[tex]y = \frac{4355}{500} = 8.71[/tex]
[tex]x > y[/tex]
C)
[tex]x = \frac{23}{40} + \frac{18}{25} + 3 [/tex]
[tex]x = \frac{25 \times 23 +40 \times 18 + 1000 \times 3 }{1000} [/tex]
[tex]x = \frac{575 + 720 + 3000}{1000} [/tex]
[tex] x = \frac{2295}{1000} = 2.295[/tex]
[tex]y = \frac{35}{4} + 8 + \frac{19}{25} [/tex]
[tex]y = \frac{25 \times 35 + 100 \times 8 + 4 \times 19}{100} [/tex]
[tex]y = \frac{875 + 800 + 76}{100} [/tex]
[tex]y = \frac{1751}{100} = 17.51[/tex]
[tex]x < y[/tex]
