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)
Lý thuyết cơ bản và giải bài tập Quy đồng mẫu số nhiều phân số (Toán 6)
I. Lý thuyết cơ bản quy đồng mẫu số nhiều phân số
1. Khái niệm.
Quy đồng mẫu số của nhiều phân số là biến đổi những phân số đó lần lượt thành những
phân số bằng chúng nhưng có cùng mẫu số.
2. Quy tắc quy đồng mẫu số
Muốn quy đồng mẫu số nhiều phân số với mẫu số dương ta làm như sau:
Bước 1: Tìm bội chung của các mẫu (thường là BCNN để làm mẫu chung).
Bước 2: Tìm thừa số phụ của mỗi mẫu (bằng cách chia mẫu chung cho từng mẫu).
Bước 3: Nhân cả tử và mẫu của mỗi phân số với thừa số phụ tương ứng.
II. Giải bài tập trang 19, 20 SGK Toán lớp 6 tập 2
Bài 28 - Trang 19 - Phần số học - SGK Toán 6 Tập 2
a) Quy đồng mẫu các phân số sau: .
b) Trong các phân số đã cho, phân số nào chưa tối giản?
Từ nhận xét đó, ta có thể quy đồng các phân số này như thế nào?
Hướng dẫn giải.
a) .
b) Phân số không phải là phân số tối giản.
Từ đó ta có: Để quy đồng mẫu các phân số đã cho, trước hết ta nên rút gọn các phân số đã
cho thành phân số tối giản rồi hãy quy đồng mẫu. Nếu làm như vậy ta sẽ được các phân
số đơn giản hơn:
Bài 29 - Trang 19 - Phần số học - SGK Toán 6 Tập 2
Quy đồng mẫu các phân số sau:
a) và b) và c) và -6.