Cho phân số $\frac{7}{8}$. Hãy tìm số a sao cho đem tử số của phân số đã cho trừ đi a và thêm a vào mẫu số ta được một phân số mới bằng $\frac{1}{4}$.

Phương pháp giải

- Tìm tổng của tử số và mẫu số của phân số đã cho - Khi bớt a ở tử số và thêm a vào mẫu số thì tổng của tử số và mẫu số không thay đổi. - Giải bài toán tổng - tỉ để tìm tử số cùa phân số mới

Lời giải của GV ufaindo.xyz

Tổng của tử số và mẫu số của phân số đã cho là: 7 + 8 = 15. Khi bớt a ở tử số và thêm a vào mẫu số thì tổng của tử số và mẫu số không thay đổi. Tổng của tử số và mẫu số của phân số mới vẫn là 15. Ta có: $\frac{{7 - a}}{{8 + a}} = \frac{1}{4}$

Tử số của phân số mới là 15 : (1 + 4) = 3 Hay 7 – a = 3. Vậy số a cần tìm là 4 Đáp số: a = 4

Báo lỗi - Góp ý

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