Mr Daniels Maths
Solving Fractional Equations

Easy

Medium

Difficult

Q1) \(6 \over 3 x \) + \( 4\over x \) = 6 , x = 1
Q1) \( x \over 4 \) + \( x \over 2 \) = 3 , x = 4
Q1) \( 5 \over x + 1 \) + \( 40 \over x -8 \) = -9 , x = -2 , x = 4;
Q2) \(10 \over x \) + \( 8\over 2 x \) = 7 , x = 2
Q2) \( x \over 10 \) + \( x \over 2 \) = 3 , x = 5
Q2) \( 2 \over x + 1 \) + \( 4 \over x -2 \) = -3 , x = -2 , x = 1;
Q3) \(8 \over 2 x \) + \( 4\over x \) = 4 , x = 2
Q3) \( x \over 9 \) + \( x \over 6 \) = 5 , x = 18
Q3) \( 6 \over x + 1 \) + \( 36 \over x -6 \) = -7 , x = 2 , x = -3;
Q4) \(6 \over x \) + \( 9\over x \) = 3 , x = 5
Q4) \( x \over 6 \) + \( x \over 3 \) = 3 , x = 6
Q4) \( 4 \over x + 1 \) + \( 12 \over x -3 \) = -4 , x = 1 , x = -3;
Q5) \(8 \over x \) + \( 10\over x \) = 2 , x = 9
Q5) \( x \over 6 \) + \( x \over 4 \) = 5 , x = 12
Q5) \( -6 \over x + 1 \) + \( 72 \over x +12 \) = 11 , x = -3 , x = -4;
Q6) \(6 \over x \) + \( 3\over x \) = 9 , x = 1
Q6) \( x \over 3 \) + \( x \over 2 \) = 5 , x = 6
Q6) \( 8 \over x + 1 \) + \( 72 \over x -9 \) = -10 , x = 3 , x = -3;
Q7) \(3 \over x \) + \( 4\over 2 x \) = 5 , x = 1
Q7) \( x \over 6 \) + \( x \over 3 \) = 2 , x = 4
Q7) \( -12 \over x + 1 \) + \( 72 \over x +6 \) = 5 , x = 3 , x = 2;
Q8) \(3 \over x \) + \( 9\over 3 x \) = 3 , x = 2
Q8) \( x \over 2 \) + \( x \over 6 \) = 4 , x = 6
Q8) \( 12 \over x + 1 \) + \( 144 \over x -12 \) = -13 , x = 3 , x = -4;
Q9) \(9 \over x \) + \( 5\over x \) = 2 , x = 7
Q9) \( x \over 8 \) + \( x \over 4 \) = 3 , x = 8
Q9) \( -8 \over x + 1 \) + \( 24 \over x +3 \) = 2 , x = 3 , x = 1;
Q10) \(10 \over x \) + \( 10\over 5 x \) = 4 , x = 3
Q10) \( x \over 6 \) + \( x \over 3 \) = 4 , x = 8
Q10) \( -2 \over x + 1 \) + \( 12 \over x +6 \) = 5 , x = -2 , x = -3;