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QUESTION

How do you write 0.416 [6 is the repeating decimal] as a fraction? 2. 1.27 [27 is the repeating decimal] 3. 0.148 [ 148 is the repeating decimal]?

Question 1 : ##0.416[6...]##

##((x,=, 0.4166[6...]),(10x,=,4.1666[6..]),(9x,=,3.750[0..]))##

##x = (3.75)/9 = 375/900 = 5/12##

Question 2: ##1.27[27...]##

##((x,=, 1.2727[27..]),(100x,=,127.27[27..]),(99x,=,126.0[0..]))##

##x= 126/99 = 1 3/11##

Question 3 : ##0.148[148...]##

##((x,=, 0.148[148..]),(1000x,=,148.148[148..]),(999x,=,148.0[0..]))##

##x= 148/999 = 4/37##

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