Pls solve this problem thanks in advance

A. Terminating Decimals

1. 0.725 =

2. 0.905 =

3. 0.004 =

B. Pure Repeating Decimals

4. 0.378... =

5. 0.51... =

6. 0.4884... =

C. Mixed Repeating Decimals

7. 0.476... =

8. 0.278... =

9. 0.4054... =

10. 0.3783... =
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1 Answer

  1. 0.725=725/1000=29/40
  2. 0.905=905/1000=181/200
  3. 0.004=4/1000=1/250
  4. 0.378...=378/999=27*14/(27*37)=14/37
  5. 0.51...=51/99=3*17/(3*33)=17/33
  6. 0.4884....=4884/9999=33*148/(33*303)=148/303
  7. 0.47666...=47.666.../100=47/100+(6/9)/100=47/100+2/300=(141+2)/300=143/300
  8. 0.27888...=27.888.../100=27/100+(8/9)/100=27/100+8/900=(243+8)/900=251/900
  9. 0.405444...=405.444.../100=405/1000+(4/9)/1000=405/1000+4/9000=(3645+4)/9000=3649/9000
  10. 0.378333...=378/1000+1/3000=(1134+1)/3000=1135/3000=227/600
by Top Rated User (1.2m points)

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