Question

Tính giá trị \(B=2\frac{1}{33}\times\frac{1}{59}-\frac{1}{11}\times3\frac{58}{59}-\frac{4}{33\times59}+\frac{4}{11}\)

Answer 1

Đặt \(a=\frac{1}{33}\), \(b=\frac{1}{59}\)

Có B= \(\left(2+\frac{1}{33}\right).\frac{1}{59}-3.\frac{1}{33}.\left(3+\frac{58}{59}\right)-4.\frac{1}{33}\frac{1}{59}+4.\frac{1}{33}.3\)

= \(\left(2+a\right)b-3a\left(3+1-\frac{1}{59}\right)-4ab+4.a.3\)

= \(2b+ab-3a\left(4-b\right)-4ab+12a\)

= \(2b+ab-12a+3ab-4ab+12a\)

= \(2b=\frac{2}{59}\)

Vậy B= \(\frac{2}{59}\)