how do you simplify 875/1000

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03-12-2014
Mathematics

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how do you simplify 875/1000

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Аноним Аноним · Answer 1 · 2014-12-03T13:37:31+01:00

[tex]Find\ GCF(875;\ 1000)[/tex]

[tex]875|5\\175|5\\.\ 35|5\\.\ \ 7|7\\.\ \ 1|\\875=\fbox5\times\fbox5\times\fbox5\times7\\\\1000|5\\.\ 200|5\\.\ \ 40|5\\.\ \ \ 8|2\\.\ \ \ 4|2\\.\ \ \ 2|2\\.\ \ \ 1|\\1000=\fbox5\times\fbox5\times\fbox5\times2\times2\times2[/tex]

[tex]GCF(875;\ 1000)=\fbox5\times\fbox5\times\fbox5=125\\\\\frac{875}{1000}=\frac{875:125}{1000:125}=\frac{7}{2\times2\times2}=\boxed{\frac{7}{8}}[/tex]