Express 7.25 (25 being repeated)?

1 Answer
Jim G.
May 16, 2018

#718/99#

Explanation:

#"we require to create 2 equations with the repeated value"#
#"placed after the decimal point"#

#"note that "7.bar(25)-=7.252525...#

#"the bar is placed above the repeated numerals"#

#"let "x=7.bar(25)to(1)#

#rArr100x=725.bar(25)to(2)#

#"subtracting "(1)" from "(2)" eliminates the repeated value"#

#(100x-x)=(725.bar(25)-7.bar(25))#

#rArr99x=718#

#rArrx=718/99larrcolor(blue)"exact fraction"#

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