Answer:
11/14
Step-by-step explanation:
Let's say our fraction is x/y
numerator (x) is 3 less than (-3 +) the denominator (y)
x = -3 + y
x = y - 3
when 7 is added (+7) to the numerator and denominator (x and y), the fraction becomes 6/7 (=6/7)
add 7 to the numerator and denominator of the original fraction, set that equal to 6/7
(x+7)/(y+7) = 6/7
x = y - 3
plug y-3 in for x into the first equation
(y-3+7)/(y+7)=6/7
(y+4)/(y+7)=6/7
multiply both sides by 7 to remove a denominator
(7y+28)/(y+7) = 6
multiply both sides by (y+7) to remove the other denominator
7y+28 = 6y + 42
subtract 6y from both sides to put all variable values on one side
y + 28 = 42
subtract 28 from both sides to isolate y
y = 14
x = y - 3
x = 11
original fraction = 11/14
