Question

tính giá trị biểu thức sau:

A= (\(\frac{1}{7}+\frac{1}{23}-\frac{1}{1009}\)):(\(\frac{1}{23}+\frac{1}{7}-\frac{1}{1009}+\frac{1}{7}.\frac{1}{23}.\frac{1}{1009}\) )+1:(30.1009-160)

Answer 1

\(A=\left(\frac{1}{7}+\frac{1}{23}-\frac{1}{1009}\right):\left(\frac{1}{23}+\frac{1}{7}-\frac{1}{1009}+\frac{1}{7}.\frac{1}{23}.\frac{1}{1009}\right)+1:\left(30.1009-160\right)\)

\(=\frac{23.1009+7.1009-7.23}{7.23.1009}:\frac{7.1009+23.1009-23.7+1}{7.23.1009}+\frac{1}{30.1009-160}\)

\(=\frac{30109}{7.23.1009}.\frac{7.3.1009}{30110}+\frac{1}{30110}\)

\(=\frac{30109}{30110}+\frac{1}{30110}=\frac{30110}{30110}=1\)