How do you convert 0.37 (7 repeating) as a fraction?

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Answer 1 · 2018-04-20T16:03:02

$17/45$

#we have

$x=0.377777777....$

since only one digit recurs multiply by 10

$10x=3.7color(red)(77777777...)$

$x=0.3color(red)(77777...)$

subtract the two expressions,; the digits in red cancel out

$9x=3.4$

$x=3.4/9=34/90$