Use division to find all the whole number ratios equivalent to 168 : 56

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23-01-2015
Mathematics

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Use division to find all the whole number ratios equivalent to 168 : 56

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Аноним Аноним · Answer 1 · 2015-01-24T16:55:49+01:00

[tex]168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\56|2\\28|2\\14|2\\.\ 7|7\\.\ 1|[/tex]

[tex]168:56=\frac{2\cdot2\cdot2\cdot3\cdot7}{2\cdot2\cdot2\cdot7}\\\\=\frac{2\cdot2\cdot3\cdot7}{2\cdot2\cdot7}=\boxed{\frac{84}{28}}\\\\=\frac{2\cdot2\cdot2\cdot3}{2\cdot2\cdot2}=\boxed{\frac{24}{8}}\\\\=\frac{2\cdot3\cdot7}{2\cdot7}=\boxed{\frac{42}{14}}\\\\=\frac{2\cdot3}{2}=\boxed{\frac{6}{2}}\\\\=\boxed{\frac{3}{1}}\\\\=\frac{2\cdot2\cdot3}{2\cdot2}=\boxed{\frac{12}{4}}\\\\=\frac{3\cdot7}{7}=\boxed{\frac{21}{7}}[/tex]