1)
79³/₁₆-1¹/₁₂-77¹/₂+2¹³/₄₈= 1277/16-13/12-155/2+109/48=
(1277*3-13*4-155*24+109)/48=(3831-52-3720+109)/48=168/48=7/2.
2)
37⁴¹/₄₅-36⁴/₅=1706/45-184/5=(1706-184*9)/45=(1706-1656)/45=50/45=10/9.
3)
9⁹/₁₀:(7/2)=(99*10):(7/2)=99*2/(10*7)=99/35.
4)
(99/35)*(10/9)=99*10/(35*9)=22/7=3¹/₇.
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Answers & Comments
1)
79³/₁₆-1¹/₁₂-77¹/₂+2¹³/₄₈= 1277/16-13/12-155/2+109/48=
(1277*3-13*4-155*24+109)/48=(3831-52-3720+109)/48=168/48=7/2.
2)
37⁴¹/₄₅-36⁴/₅=1706/45-184/5=(1706-184*9)/45=(1706-1656)/45=50/45=10/9.
3)
9⁹/₁₀:(7/2)=(99*10):(7/2)=99*2/(10*7)=99/35.
4)
(99/35)*(10/9)=99*10/(35*9)=22/7=3¹/₇.