Menu Close

4-99-7-999-11-999999-Can-you-solve-this-




Question Number 104450 by Anindita last updated on 21/Jul/20
(4/(99)) + (7/(999)) + ((11)/(999999)) = ?  Can you solve this?
$$\frac{\mathrm{4}}{\mathrm{99}}\:+\:\frac{\mathrm{7}}{\mathrm{999}}\:+\:\frac{\mathrm{11}}{\mathrm{999999}}\:=\:? \\ $$$$\boldsymbol{\mathrm{Can}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}? \\ $$
Answered by OlafThorendsen last updated on 21/Jul/20
999999 = 999000+999 = 999×1001  999999 = 990000+9900+99 = 99×10101  (4/(99)) + (7/(999)) + ((11)/(999999)) =  ((4×10101+7×1001+11)/(999999)) =  ((40404+7007+11)/(999999)) =  ((47422)/(999999))
$$\mathrm{999999}\:=\:\mathrm{999000}+\mathrm{999}\:=\:\mathrm{999}×\mathrm{1001} \\ $$$$\mathrm{999999}\:=\:\mathrm{990000}+\mathrm{9900}+\mathrm{99}\:=\:\mathrm{99}×\mathrm{10101} \\ $$$$\frac{\mathrm{4}}{\mathrm{99}}\:+\:\frac{\mathrm{7}}{\mathrm{999}}\:+\:\frac{\mathrm{11}}{\mathrm{999999}}\:= \\ $$$$\frac{\mathrm{4}×\mathrm{10101}+\mathrm{7}×\mathrm{1001}+\mathrm{11}}{\mathrm{999999}}\:= \\ $$$$\frac{\mathrm{40404}+\mathrm{7007}+\mathrm{11}}{\mathrm{999999}}\:= \\ $$$$\frac{\mathrm{47422}}{\mathrm{999999}} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *