katlerkroxLandah katlerkroxLandah

12-12-2016
Mathematics

contestada

What is 1.3 repeating as a fraction?

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MASTERCHIEFTGC MASTERCHIEFTGC

12-12-2016

1.3 as a fraction is 13/10

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HomertheGenius HomertheGenius

15-12-2016

1.3 repeating = 1.333...
1.333... = 1 + 0.333...
0.333... = x / * 10
3.333... = 10 x
3 + 0.333... = 10 x
3 + x = 10 x
3 = 9 x
x = 3/9
x = 1/3
Finally:
1.3 repeating = 1 1/3 = 4/3

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