Question

can anybody please help?

Answer 1

do you mean a common fraction?

.0712 with 12 repeating can be rewritten as .1212 -.05

.1212 = 12/99 and .05 = 5/100

12/99 - 5/100 = (1200 - 495)/9900 = 705/9900 or 141/1980 or 47/660

Answer 2

C

Answer 3

First:\[\bf Let \ x =0.\bar{12}\]Then:\[\bf 100x=12.\bar{12}=12+x \implies 99x=12 \implies x = \frac{ 12 }{ 99 }\]Now note the following:\[\bf 0.0\bar{12} = \frac{ 1 }{ 10 }0.\bar{12}=\frac{ x }{ 10 }=\frac{ 12 }{ 990 }\]And now note that:\[\bf 0.7=\frac{ 7 }{ 10 }\]Hence:\[\bf 0.7\bar{12}=0.7+0.0\bar{12}=\frac{ 7 }{ 10 }+\frac{ 12 }{ 990 }=\frac{ 693 +12}{ 990}=\frac{ 705 }{990 }=\frac{ 47 }{ 66 }\]
And we are done =]. @RH

Answer 4

Do you understand the approach here? @RH

Answer 5

Yes @genius12 I understand it! Thanks a LOT!!!