Quy đồng 2 phân số đã cho về cùng mẫu, ta đc:
- 4/5 = 96/120
- 5/6 = 100/120
Vậy 3 số thoả mãn lớn hơn 4/5 và nhỏ hơn 5/6 cũng có nghĩa là lớn hơn 96/120 và nhỏ hơn 100/120
=> 3 số cần tìm: 97/120, 98/120, 99/120
cách khác :
Có cả thảy 226 số có tử số nhỏ hơn 100 nằm giữa 2 số 4/5 và 5/6:
Danh sách:
9/11, 13/16, 14/17, 17/21, 18/22, 19/23, 21/26, 22/27, 23/28, 24/29, 25/31, 26/32, 27/33, 28/34, 29/35, 29/36, 30/37, 31/38, 32/39, 33/40, 33/41, 34/41, 34/42, 35/43, 36/44, 37/45, 37/46, 38/46, 38/47, 39/47, 39/48, 40/49, 41/50, 41/51, 42/51, 42/52, 43/52, 43/53, 44/53, 44/54, 45/55, 45/56, 46/56, 46/57, 47/57, 47/58, 48/58, 48/59, 49/59, 49/60, 49/61, 50/61, 50/62, 51/62, 51/63, 52/63, 52/64, 53/64, 53/65, 53/66, 54/65, 54/66, 54/67, 55/67, 55/68, 56/68, 56/69, 57/69, 57/70, 57/71, 58/70, 58/71, 58/72, 59/71, 59/72, 59/73, 60/73, 60/74, 61/74, 61/75, 61/76, 62/75, 62/76, 62/77, 63/76, 63/77, 63/78, 64/77, 64/78, 64/79, 65/79, 65/80, 65/81, 66/80, 66/81, 66/82, 67/81, 67/82, 67/83, 68/82, 68/83, 68/84, 69/83, 69/84, 69/85, 69/86, 70/85, 70/86, 70/87, 71/86, 71/87, 71/88, 72/87, 72/88, 72/89, 73/88, 73/89, 73/90, 73/91, 74/89, 74/90, 74/91, 74/92, 75/91, 75/92, 75/93, 76/92, 76/93, 76/94, 77/93, 77/94, 77/95, 77/96, 78/94, 78/95, 78/96, 78/97, 79/95, 79/96, 79/97, 79/98, 80/97, 80/98, 80/99, 81/98, 81/99, 81/100, 81/101, 82/99, 82/100, 82/101, 82/102, 83/100, 83/101, 83/102, 83/103, 84/101, 84/102, 84/103, 84/104, 85/103, 85/104, 85/105, 85/106, 86/104, 86/105, 86/106, 86/107, 87/105, 87/106, 87/107, 87/108, 88/106, 88/107, 88/108, 88/109, 89/107, 89/108, 89/109, 89/110, 89/111, 90/109, 90/110, 90/111, 90/112, 91/110, 91/111, 91/112, 91/113, 92/111, 92/112, 92/113, 92/114, 93/112, 93/113, 93/114, 93/115, 93/116, 94/113, 94/114, 94/115, 94/116, 94/117, 95/115, 95/116, 95/117, 95/118, 96/116, 96/117, 96/118, 96/119, 97/117, 97/118, 97/119, 97/120, 97/121, 98/118, 98/119, 98/120, 98/121, 98/122, 99/119, 99/120, 99/121, 99/122, 99/123.
Có rất nhiều cách biến đổi và thêm bớt. Bạn có thể lấy 3 số bất kì trong bảng này làm đáp án.
Quy đồng 2 phân số đã cho về cùng mẫu, ta đc:
- 4/5 = 96/120
- 5/6 = 100/120
Vậy 3 số thoả mãn lớn hơn 4/5 và nhỏ hơn 5/6 cũng có nghĩa là lớn hơn 96/120 và nhỏ hơn 100/120
=> 3 số cần tìm: 97/120, 98/120, 99/120
cách khác
Có cả thảy 226 số có tử số nhỏ hơn 100 nằm giữa 2 số 4/5 và 5/6:
Danh sách:
9/11, 13/16, 14/17, 17/21, 18/22, 19/23, 21/26, 22/27, 23/28, 24/29, 25/31, 26/32, 27/33, 28/34, 29/35, 29/36, 30/37, 31/38, 32/39, 33/40, 33/41, 34/41, 34/42, 35/43, 36/44, 37/45, 37/46, 38/46, 38/47, 39/47, 39/48, 40/49, 41/50, 41/51, 42/51, 42/52, 43/52, 43/53, 44/53, 44/54, 45/55, 45/56, 46/56, 46/57, 47/57, 47/58, 48/58, 48/59, 49/59, 49/60, 49/61, 50/61, 50/62, 51/62, 51/63, 52/63, 52/64, 53/64, 53/65, 53/66, 54/65, 54/66, 54/67, 55/67, 55/68, 56/68, 56/69, 57/69, 57/70, 57/71, 58/70, 58/71, 58/72, 59/71, 59/72, 59/73, 60/73, 60/74, 61/74, 61/75, 61/76, 62/75, 62/76, 62/77, 63/76, 63/77, 63/78, 64/77, 64/78, 64/79, 65/79, 65/80, 65/81, 66/80, 66/81, 66/82, 67/81, 67/82, 67/83, 68/82, 68/83, 68/84, 69/83, 69/84, 69/85, 69/86, 70/85, 70/86, 70/87, 71/86, 71/87, 71/88, 72/87, 72/88, 72/89, 73/88, 73/89, 73/90, 73/91, 74/89, 74/90, 74/91, 74/92, 75/91, 75/92, 75/93, 76/92, 76/93, 76/94, 77/93, 77/94, 77/95, 77/96, 78/94, 78/95, 78/96, 78/97, 79/95, 79/96, 79/97, 79/98, 80/97, 80/98, 80/99, 81/98, 81/99, 81/100, 81/101, 82/99, 82/100, 82/101, 82/102, 83/100, 83/101, 83/102, 83/103, 84/101, 84/102, 84/103, 84/104, 85/103, 85/104, 85/105, 85/106, 86/104, 86/105, 86/106, 86/107, 87/105, 87/106, 87/107, 87/108, 88/106, 88/107, 88/108, 88/109, 89/107, 89/108, 89/109, 89/110, 89/111, 90/109, 90/110, 90/111, 90/112, 91/110, 91/111, 91/112, 91/113, 92/111, 92/112, 92/113, 92/114, 93/112, 93/113, 93/114, 93/115, 93/116, 94/113, 94/114, 94/115, 94/116, 94/117, 95/115, 95/116, 95/117, 95/118, 96/116, 96/117, 96/118, 96/119, 97/117, 97/118, 97/119, 97/120, 97/121, 98/118, 98/119, 98/120, 98/121, 98/122, 99/119, 99/120, 99/121, 99/122, 99/123.
Có rất nhiều cách biến đổi và thêm bớt. Bạn có thể lấy 3 số bất kì trong bảng này làm đáp án.