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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 4/3+9/8+16/15+25/24+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323 .
    Question type: Mathematical calculation
    Solution:
          4/3+9/8+16/15+25/24+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+9/8+16/15+25/24+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+16/15+25/24+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+25/24+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+144/143+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+169/168+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+196/195+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+225/224+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+256/255+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+289/288+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+324/323
        =1.333333+1.125+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =2.458333+1.066667+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =3.525+1.041667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =4.566667+1.028571+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =5.595238+1.020833+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =6.616071+1.015873+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =7.631944+1.0125+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =8.644444+1.010101+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =9.654545+1.008333+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =10.662878+1.006993+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =11.669871+1.005952+1.005128+1.004464+1.003922+1.003472+1.003096
        =12.675823+1.005128+1.004464+1.003922+1.003472+1.003096
        =13.680951+1.004464+1.003922+1.003472+1.003096
        =14.685415+1.003922+1.003472+1.003096
        =15.689337+1.003472+1.003096
        =16.692809+1.003096
        =17.695905

    Answer:4/3+9/8+16/15+25/24+36/35+49/48+64/63+81/80+100/99+121/120+144/143+169/168+196/195+225/224+256/255+289/288+324/323=17.695905


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