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)
Tóm t t lý thuy t và Gi i bài t p Toán l p 6: ắ ế ả ậ ớ Quy đ ng m u s nhi u phân sồ ẫ ố ề ố
I. Lý thuy t c b n Quy đ ng m u s nhi u phân sế ơ ả ồ ẫ ố ề ố
1. Khái ni m.ệ
Quy đ ng m u s c a nhi u phân s là bi n đ i nh ng phân s đó l n l t thànhồ ẫ ố ủ ề ố ế ổ ữ ố ầ ượ
nh ng phân s b ng chúng nh ng có cùng m u s .ữ ố ằ ư ẫ ố
2. Quy t cắ quy đ ng m u sồ ẫ ố
Mu n quy đ ng m u s nhi u phân s v i m u s d ng ta làm nh sau:ố ồ ẫ ố ề ố ớ ẫ ố ươ ư
B c 1ướ : Tìm b i chung c a các m u (th ng là BCNN đ làm m u chung).ộ ủ ẫ ườ ể ẫ
B c 2ướ : Tìm th a s ph c a m i m u (b ng cách chia m u chung cho t ng m u).ừ ố ụ ủ ỗ ẫ ằ ẫ ừ ẫ
B c 3ướ : Nhân c t và m u c a m i phân s v i th a s ph t ng ng.ả ử ẫ ủ ỗ ố ớ ừ ố ụ ươ ứ
II. Gi i bài t p trang 19, 20 SGK Toán l p 6 t p 2ả ậ ớ ậ
Bài 28 - Trang 19 - Ph n s h c - SGK Toán 6 T p 2ầ ố ọ ậ
a) Quy đ ng m u các phân s sau:ồ ẫ ố .
b) Trong các phân s đã cho, phân s nào ch a t i gi n?ố ố ư ố ả
T nh n xét đó, ta có th quy đ ng các phân s này nh th nào?ừ ậ ể ồ ố ư ế
H ng d n gi i.ướ ẫ ả
a) .
b) Phân số không ph i là phân s t i gi n.ả ố ố ả
T đó ta có: Đ quy đ ng m u các phân s đã cho, tr c h t ta nên rút g n các phân sừ ể ồ ẫ ố ướ ế ọ ố
đã cho thành phân s t i gi n r i hãy quy đ ng m u. N u làm nh v y ta s đ c cácố ố ả ồ ồ ẫ ế ư ậ ẽ ượ
phân s đ n gi n h n:ố ơ ả ơ .
Bài 29 - Trang 19 - Ph n s h c - SGK Toán 6 T p 2ầ ố ọ ậ
Quy đ ng m u các phân s sau:ồ ẫ ố
a) và b) và c) và -6.