- #1
unihopes92
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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
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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