Bài 156 trang 64 SGK Toán 6 tập 2

Đề bài

Rút gọn:

a) \(\displaystyle {{7.25 - 49} \over {7.24 + 21}}\)

b) \(\displaystyle {{2.\left( { - 13} \right).9.10} \over {\left( { - 3} \right).4.\left( { - 5} \right).26}}\)

Lời giải chi tiết

a) \( \displaystyle {{7.25 - 49} \over {7.24 + 21}} = {{7.25 - 7.7} \over {7.24 + 7.3}}\)\(\displaystyle ={{7(25 - 7)} \over {7(24 + 3)}} = {{18} \over {27}} = {2 \over 3}\)

b)  \( \displaystyle {{2.\left( { - 13} \right).9.10} \over {\left( { - 3} \right).4.\left( { - 5} \right).26}} \)

\(\begin{array}{l}
= \dfrac{{\left( {2.10} \right).\left( { - 13} \right).9}}{{\left( { - 3} \right).\left[ {4.\left( { - 5} \right)} \right].26}}\\
= \dfrac{{20.\left( { - 13} \right).3.3}}{{\left( { - 3} \right).\left( { - 20} \right).13.2}}\\
= \dfrac{{1.\left( { - 1} \right).1.3}}{{\left( { - 1} \right).\left( { - 1} \right).1.2}} = \dfrac{{ - 3}}{2}
\end{array}\)