What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/53 -?=1/2

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05-05-2014
Mathematics

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What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/53 -?=1/2

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kate200468 kate200468 · Answer 1 · 2014-05-05T18:46:45-04:00

kate200468 kate200468

05-05-2014

[tex] \frac{34-x}{53-x}= \frac{1}{2} \ \ \ \Leftrightarrow\ \ \ 53-x=2(34-x)\ \ \wedge\ \ \ x \neq 53\\ \\53-x=68-2x\\ \\-x+2x=68-53\\ \\x=15\\ \\check\ result:\\ \\ \frac{34-15}{53-15} = \frac{19}{38} =\frac{1}{2}[/tex]

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