Question

Tính nhanh:\(\frac{12,48:6,48:0,5:0,125\times6,25\times3,25\times4\times4\times2}{2:2\times3,12\times21,6\times1,25\times2,6:0,25:0,25\times10\times10}\)

Answer 1

Lời giải:
Gọi phân số trên là $A$. Ta có:

$A=\frac{12,48:6,48\times 2\times 8\times 6,25\times 3,25\times 4\times 4\times 2}{3,12\times 21,6\times 1,25\times 2,6\times 4\times 4\times 10\times 10}$

$=\frac{12,48:6,48\times (2\times 6,25)\times (8\times 3,25)\times 2}{3,12\times 21,6\times (1,25\times 10)\times (2,6\times 10)}$

$=\frac{12,48:6,48\times 12,5\times 26\times 2}{3,12\times 21,6\times 12,5\times 26}$

$=\frac{12,48:6,48\times 2}{3,12\times 21,6}=\frac{125}{2187}$