Question

Fracao geratriz da dizima 1,3444

Answer 1

Fração geratriz da dizima 1,3444

1,3444
X=1,3444 ×(10)
10x=13,444
10x=13+0,444
10x=13+4/9 ×(9)
90x=117+4
90x=121
X=121/90 <<------( fração geratriz )


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Answer 2

x=1,344444... (x10)
10x=13,4444... (x10)
100x=134,444444....
100x-10x=90x
134,444-13,44444=121
90x=$\left[\begin{array}{ccc}121\\90\\\end{array}\right]$