Question

Use a series to express the following number as a ratio of integers: 0.73737373

Answer 1

`x=0.73737373...\ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=73.737373...\\\\100x-x=73.737373...-0.737373...\\\\99x=73\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=(73)/(99)\\\\Answer:\boxed{0.737373...=(73)/(99)}`

Answer 2

let x=0.73737373 name it as eq 1
multiply 100 on both sides of 1
we get
100x=73.7373....................eq 2
subtract equation 1 from 2
99x=73
x=73/99
hope this helps