Tính giá trị biểu thức sau bằng cách hợp lí nhất : \(\Large{\dfrac{121

Tính giá trị biểu thức sau bằng cách hợp lí nhất :

\(\Large{\dfrac{121212}{131313}-\dfrac{151154}{143143}-(\dfrac{2121}{2323}+\dfrac{275275}{253253})}=\)

• A. 0

\(\Large\dfrac{121212}{131313}+\dfrac{154154}{143143}-(\dfrac{2121}{2323}+\dfrac{275275}{253253})\)

= \(\Large\dfrac{12\times10101}{13\times10101}+\dfrac{154\times1001}{143\times1001}-(\dfrac{21\times101}{23\times101}+\dfrac{275\times1001}{253\times1001})\)

= \(\Large\dfrac{12}{13}+\dfrac{154}{143}-(\dfrac{21}{23}+\dfrac{275}{253})\)

= \(\Large\dfrac {12}{13}+\dfrac{154}{143}-(\dfrac{21\times11}{23\times11}+\dfrac{275}{253})\)

= \(\Large\dfrac{12}{13}+\dfrac{154}{143}-(\dfrac{231}{253}+\dfrac{275}{253})\)

= \(\Large\dfrac{12}{13}+\dfrac{154}{143}-\dfrac{506}{253}\)

= \(\Large\dfrac{12\times11}{13\times11}+\dfrac{154}{143}- 2\)

= \(\Large\dfrac{132}{143}+\dfrac{154}{143}- 2\)

= \(\Large\dfrac{286}{143}- 2\)

= 2 - 2 

= 0