What is 0.31 (31 repeating) as a fraction?

1 Answer
Jun 20, 2018

#31/99#

Explanation:

#"we require to establish 2 equations with the repeating"#
#"part after the decimal point"#

#"let "x=0.3131..to(1)" then"#

#100x=31.3131...to(2)#

#"subtracting the equations eliminates the repeating part"#

#(2)-(1)#

#(100x-x)=31.3131-0.3131#

#99x=31rArrx=31/99#