(adsbygoogle = window.adsbygoogle || []).push({}); need help!! recuuring decimals

hey, I'm in yr 11 advanced maths and I'm on a section in my book, where I'm converting recurring decimals to common fractions. i have a series of questions, after i finished the first couple i cheeked the back of the book to make sure I did them correctly but the book says they are all wrong. hears what i did and the books answer after it. p.s. the last digit is the only recurring decimal eg 4 out of .34...

.34...... .57......

x=.34...... x=.57.....

10x=3.4..... 10x=5.7.......

100x=34.4..... 100x=57.7.......

100x-10x=34 90x=57

x=34/90 x=57/90

x=17/45 x=19/30

book answer

31/90 38/90

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# Need help recuuring decimals

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