anonymous
  • anonymous
convert to a fraction 0.24 and they want work shown ???? i have no idea anybody know how to do this
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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.Sam.
  • .Sam.
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anonymous
  • anonymous
.24242424...=.24+.0024+.000024+.00000024… As shown above .242424... can be expressed as an infinite geometric series with a common ratio of 1/100 and an initial term of 24/100. Since the common ratio is less than 1 we can use the following formula: a1/(1-r) a1=24/100 (initial term) r=1/100 (common ratio) (24/100)/(1 - 1/100) (24/100)/(99/100) 24/99
amistre64
  • amistre64
decimals are fraction in base 10

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amistre64
  • amistre64
\[ .24=\frac{2}{10}+\frac{4}{100} \]
amistre64
  • amistre64
kumar has some nice stuff there if your question had been about someting else ....
anonymous
  • anonymous
thanks everyone 8)
anonymous
  • anonymous
0.24=24\[0.24=24\times0.01 and 0.01=1\div100\]
anonymous
  • anonymous
so \[0.24=24/100\] and simplify that

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