tính nhanh : a) 399 x 45 + 55 x399/ 1995 x 1996 – 1991 x 1995 b) 1996 x 1995 – 996/ 1000 + 1996 x 1994 c) 637 x 527 – 189/ 526 x 637 + 448 d) 677 X 874 + 251 / 678 X 874 – 623 DẤU / là phần
tính nhanh : a) 399 x 45 + 55 x399/ 1995 x 1996 – 1991 x 1995 b) 1996 x 1995 – 996/ 1000 + 1996 x 1994 c) 637 x 527 – 189/ 526 x 637 + 448 d) 677 X 874 + 251 / 678 X 874 – 623 DẤU / là phần
a) `frac{399 × 45 + 55 × 399}{1995 × 1996 – 1991 × 1995}`
= `frac{399 × (45 + 55)}{1995 × (1996 – 1991)}`
= `frac{399 × 100}{1995 × 4}`
= `frac{399 × 100}{399 × 5 × 4}`
$= 4$
b) `frac{1996 × 1995 – 996}{1000 + 1996 × 1994}`
= `frac{1996 × (1994 + 1) – 996}{1000 + 1996 × 1994}`
= `frac{1996 × 1994 + 1996 – 996}{1000 + 1996 × 1994}`
=`frac{1996 × 1994 + 1000}{1000 + 1996 × 1994}`
$= 1$
c) `frac{637 x 527 – 189}{526 × 637 + 448}`
= `frac{637 . (526 + 1) – 189}{526 . 637 + 448}`
= `frac{637 . 526 + 637 – 189}{526 . 637 + 488}`
= `frac{637 . 527 + 448}{526 . 637 + 488}`
$= 1$
d) `frac{677 × 874 + 251}{678 × 874 – 623}`
= `frac{677 × 874 + 251}{(677 + 1) × 874 – 623}`
= `frac{677 × 874 + 251}{677 × 874 + 874 – 623}`
= `frac{677 × 874 + 251}{678 × 874 + 251}`
$= 1$