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34 - x = (53 - x)/2

68 - 2x = 53 - x

x = 15 giving required fraction 19/38

The target numerator, in examples such as this, will be

Old Denominator minus Old Numerator, ie 53-34 = 19

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Q: What number can be subtracted from both the numerator and the denominator of thirty four-fifty thirds to equal 1 half?
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