To be very busy with tasks or responsibilities, having no time for other activities.

अत्यधिक व्यस्त होना

English Usage: She couldn't attend the meeting because she had her hands full with the presentation.

Hindi Usage: वह बैठक में नहीं आ सकीं क्योंकि वह प्रेजेंटेशन के कारण अत्यधिक व्यस्त थीं।