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]?

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Answer 1 · 2015-04-10T12:21:07

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#