sophielebrato
sophielebrato
11-03-2015
Mathematics
Answered
what is 0.03703703703 as a fraction
Answer :
Аноним
Аноним
11-03-2015
[tex]n=0.\dot { 0 } 3\dot { 7 } \\ \\ 1000n=37.\dot { 0 } 3\dot { 7 } \\ \\ 1000n-n=37[/tex]
[tex]\\ \\ 999n=37\\ \\ n=\frac { 37 }{ 999 } \\ \\ n=\frac { 37 }{ 37 } \cdot \frac { 1 }{ 27 } \\ \\ \therefore \quad n=\frac { 1 }{ 27 }[/tex]
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konrad509
konrad509
11-03-2015
[tex]x=0.\overline{037}\\ 1000x=37.\overline{037}\\ 1000x-x=37.\overline{037}-0.\overline{037}\\ 999x=37\\ x=\dfrac{37}{999}=\dfrac{1}{27}[/tex]
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