Cho phân số $\frac{{54}}{{63}}$. Hãy tìm số tự nhiên a sao cho khi bớt a ở tử số và thêm a vào mẫu số ta được phân số mới, rút gọn phân số mới ta được phân số $\frac{4}{5}$.

Phương pháp giải

- Khi bớt ở tử số a đơn vị và thêm vào mẫu số a đơn vị thì tổng của tử số và mẫu số của phân số mới không thay đổi - Giải bài toán tổng, tỉ để tìm tử số của phân số mới - Tìm số a

Lời giải của GV ufaindo.xyz

Tổng của tử số và mẫu số của phân số $\frac{{54}}{{63}}$ là 54 + 63 = 117 Khi bớt ở tử số a đơn vị và thêm vào mẫu số a đơn vị thì tổng của tử số và mẫu số của phân số mới không thay đổi và bằng 117. Ta có $\frac{{54 - a}}{{63 + a}} = \frac{4}{5}$ Tử số của phân số mới là 117 : (4 + 5) x 4 = 52 Ta có 54 – a = 52. Vậy a = 2 Đáp số: a = 2

Báo lỗi - Góp ý

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