Question

Rút gọn các phân thức :

a) A= \(\dfrac{1235.2469-1324}{1324.2469+1235}\) b) B= \(\dfrac{4002}{1000.1002-999.1001}\)

Answer 1

a: \(=\dfrac{1235\left(1235\cdot2-1\right)-1235-89}{\left(1235\cdot2-1\right)\left(1235+89\right)+1235}\)

\(=\dfrac{1235\left(1235\cdot2-2\right)-89}{1235\cdot\left(1235\cdot2-1\right)+1235+89\cdot\left(1235\cdot2-1\right)}\)

\(=\dfrac{1235\cdot1234-89}{1235\cdot2470+89\cdot2469}\)

=0,93

b: \(=\dfrac{4002}{1001^2-1-999\cdot1001}=\dfrac{4002}{1001\left(1001-999\right)-1}\)

\(=\dfrac{4002}{1001\cdot2-1}=\dfrac{4002}{2001}=2\)