Mr Daniels Maths
Algebraic Fractions Multiplication and Division

Easy

Medium

Difficult

Q1) \(x + 2\over 2\) x \(x + 7\over 6\) = \(x^2 + 9 x + 14\over 12\)
Q1) \(x + 3\over 4\) x \(3 \over{ x + 5}\) = \(3( x + 3) \over 4 ( x + 5)\)
Q1) \(x + 7\over 9\) x \(x + 7\over x + 7\) = \(x + 7\over 9\)
Q2) \(x + 3\over 7\) x \(x + 1\over 2\) = \(x^2 + 4 x + 3\over 14\)
Q2) \(x + 2\over 4\) x \(7 \over{ x + 5}\) = \(7( x + 2) \over 4 ( x + 5)\)
Q2) \(x + 6\over 9\) ÷ \( x + 6\over x + 7\) = \(x + 7\over 9\)
Q3) \(x + 4\over 6\) x \(x + 2\over 8\) = \(x^2 + 6 x + 8\over 48\)
Q3) \(x + 10\over 10\) ÷ \({ x + 9} \over 3 \) = \(3( x + 10) \over 10 ( x + 9)\)
Q3) \(x + 5\over 4\) ÷ \( x + 5\over x + 7\) = \(x + 7\over 4\)
Q4) \(x + 8\over 6\) x \(x + 10\over 10\) = \(x^2 + 18 x + 80\over 60\)
Q4) \(x + 2\over 2\) ÷ \({ x + 7} \over 1 \) = \(1( x + 2) \over 2 ( x + 7)\)
Q4) \(x + 9\over 4\) ÷ \( x + 9\over x + 2\) = \(x + 2\over 4\)
Q5) \(x + 6\over 8\) ÷ \(2 \over {x + 5}\) = \(x^2 + 11x + 30\over 16\)
Q5) \(x + 10\over 3\) ÷ \({ x + 8} \over 5 \) = \(5( x + 10) \over 3 ( x + 8)\)
Q5) \(x + 8\over 10\) ÷ \( x + 8\over x + 10\) = \(x + 10\over 10\)
Q6) \(x + 8\over 9\) ÷ \(5 \over {x + 8}\) = \(x^2 + 16 x + 64\over 45\)
Q6) \(x + 3\over 1\) x \(2 \over{ x + 9}\) = \(2( x + 3) \over( x + 9)\)
Q6) \(x + 9\over 5\) x \(x + 10\over x + 9\) = \(x + 10\over 5\)
Q7) \(x + 10\over 3\) ÷ \(7 \over {x + 2}\) = \(x^2 + 12 x + 20\over 21\)
Q7) \(x + 3\over 9\) ÷ \({ x + 2} \over 8 \) = \(8( x + 3) \over 9 ( x + 2)\)
Q7) \(x + 9\over 7\) ÷ \( x + 9\over x + 6\) = \(x + 6\over 7\)
Q8) \(x + 5\over 6\) ÷ \(8 \over {x + 2}\) = \(x^2 + 7 x + 10\over 48\)
Q8) \(x + 6\over 5\) x \(8 \over{ x + 2}\) = \(8( x + 6) \over 5 ( x + 2)\)
Q8) \(x + 8\over 9\) x \(x + 6\over x + 8\) = \(x + 6\over 9\)
Q9) \(x + 4\over 9\) x \(x + 7\over 2\) = \(x^2 + 11x + 28\over 18\)
Q9) \(x + 8\over 5\) ÷ \({ x + 10} \over 2 \) = \(2( x + 8) \over 5 ( x + 10)\)
Q9) \(x + 1\over 6\) x \(x + 10\over x + 1\) = \(x + 10\over 6\)
Q10) \(x + 4\over 7\) x \(x + 4\over 8\) = \(x^2 + 8 x + 16\over 56\)
Q10) \(x + 2\over 9\) ÷ \({ x + 5} \over 2 \) = \(2( x + 2) \over 9 ( x + 5)\)
Q10) \(x + 10\over 8\) ÷ \( x + 10\over x + 10\) = \(x + 10\over 8\)