The sum of the numerator and denominator of a fraction is 12. If 1 is added to both numerator and denominator the fraction becomes . Find the fraction.
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Answer:
If fraction becomes 3/4 then
Step-by-step explanation:
Let call our fraction xy, we know that:
x+y=12
and
xy+3=12
from the second:
x=12(y+3)
into the first:
12(y+3)+y=12
y+3+2y=24
3y=21
y=213=7
and so:
x=12−7=5
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