Упражнение 413 Замените придаточные предложения герундиаль- ными оборотами, вводя их, где необходимо, предлого ми, данными в скобках после предложения. 1. When they entered the house, they heard the last bell ringing. (on) 2. Thank you that you invited me to the theatre. (for) 3. The woman insisted that her husband should consult the doctor at once. (on) 4. She could not even think that the operation might be postponed. (of) 5. There was a little hope that James would return on the same day. (of) 6. The thought that he had been turned away by the doorkeeper made him feel miserable. (of) 7. The pleasant - faced middle - aged woman insisted that Olga should come to her town to teach. (on) 8. Helen suggested that they should go on a trip. 9. There is possibility that my father will join us for the trip. (of) 10. The girls knew that the sportsman had been awarded a prize. (of) 11. I don't mind if you walk to the underground station with me.​

Ответ:

1. When they entered the house, they heard the last bell ringing. (on)
=
On entering the house they heard the last bell ringing.

2. Thank you that you invited me to the theatre. (for)
=
Thank you for inviting me to the theatre.

3. The woman insisted that her husband should consult the doctor at once. (on)
=
The woman insisted on her husband consulting the doctor at once.

4. She couldn’t even think that the operation might be postponed. (of)
=
She couldn't even think of the operation being postponed.

5. There was a little hope that James would return on the same day. (of)
=
There was a little hope of James returning on the same day.

6. The thought that he had been turned away by the doorkeeper made him feel miserable. (of) 
=
The thought of his having been turned away by the doorkeeper made him feel miserable. 

 7. The pleasant - faced middle - aged woman insisted that Olga should come to her town to teach. (on)
=
The pleasant-faced middle-aged woman insisted on Olga's coming to her town to teach.

8. Helen suggested that they should go on a trip.
=
Helen suggested their going on a trip.

9. There is possibility that my father will join us for the trip. (of)
=
There is a possibility of my father joining us for the trip.

10. The girls knew that the sportsman had been awarded a prize. (of)
=
The girls knew of the sportsman’s  having  been  awarded a prize.

11. I don't mind if you walk to the underground station with me.
=
I don’t mind your walking to the underground station with me
Объяснение:
Герундиальный оборот - это сочетание герундия с существительным или местоимением.
Герундиальный оборот (герундиальный комплекс) состоит из двух частей:
1-я часть
• существительное в притяжательном падеже (-’s) или притяжательное местоимение (my, your, his, her, its, our, their)
• или существительное в общем падеже, а личное местоимение в объектном падеже (me, you, him, her, it, us, them)

2-я часть
• герундий, который выражает действие, совершаемое лицом или предметом, названным в первой части оборота (Active), или действие, совершаемое над этим лицом / предметом (Passive).