Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
1/4 + 1/2 + x = −3/4
get a common denominator 1/4
1/4 +2/4 +x = -3/4
combine like terms
3/4 +x =-3/4
subtract 3/4 from each side
x = -3/4 -3/4
x = -6/4
divide top and bottom by 2
x = -3/2
x = -1 1/2
Answer : x = -1 1/2
it is an increase of 400%
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