1.

Express each of the following as a fraction in simplest form(1)0.365 recring on 65

Answer» We have to express the given decimal in fractional form. So for that, let {tex}x = 0.3 \\overline { 65 }{/tex}, thenx = 0.3656565.... ...(i)10x = 3.656565.... ...(ii)1000x = 365.656565.... ....(iii)Subtracting (ii) from (iii), we obtain\xa0{tex}990x = 362 \\\\ \\Rightarrow x = \\frac { 362 } { 990 } = \\frac { 181 } { 495 }{/tex}


Discussion

No Comment Found