How do you convert 5.79 (79 repeating) to a fraction?

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Answer 1 · 2016-04-19T05:02:59

#5.79=574/99#

It helps to notice a trend

#1/9=0.11111 ...#

#2/9=0.22222 ....#

#43/99=0.43434343....#

#721/999=0.721721721.....#

See the pattern? We get repeating numbers by dividing by 9's, (same number of 9's as digits we want repeated)

So we can write #0.79797979....=79/99#

Now to answer your question,

#5.79= (5)+(0.7979797979...)=5+79/99=495/99+79/99=574/99#