Question 499561
x = numerator
x+2 = denominator
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2x is the doubled numerator
x+2+5 is five added to the denominator
{{{2x/(x+7) = 1}}}
cross multiply (the 1 can be viewed as 1/1)
{{{2x = x+7}}}
subtract x from both sides
{{{x = 7}}}
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substitute to find the original denominator
{{{x+2 = 9}}}
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Original fraction was 7/9.
.
Done.