What is the difference between Rama Navami and Navratri, since both involve worshipping during a nine-day period?

Two different festivals, two different deities

Navratri means nine nights. The focus is entirely on Devi, the goddess, in her many forms. Devotees recite texts like the Devi Mahatmya, fast, and honor the goddess through each of the nine nights. The tenth day that follows Navratri is when the festival peaks or concludes.

Rama Navami is about Rama, the avatar of Vishnu. It marks the day he was born. Devotees read or listen to the Ramayana, sing bhajans in his name, and celebrate his life. The rituals and the deity are completely different from Navratri.

Why they fall so close together

There are two main Navratris in the Hindu calendar year. Chaitra Navratri falls in spring, and Sharad Navratri falls in autumn. Rama Navami comes right at the end of Chaitra Navratri, on the ninth day of the bright half of the month of Chaitra. So yes, Rama Navami does fall during or just as Chaitra Navratri closes. That is where the overlap comes from.

Sharad Navratri, the autumn one, ends with Dussehra, which marks Durga's victory over the demon Mahishasura and also Rama's victory over Ravana in some traditions. That festival has no connection to Rama Navami.

Different meanings, different moods

Navratri carries the energy of the goddess, her power, her many forms, and her victory over darkness. It is devotion to Shakti. Rama Navami carries the mood of joy at a birth, the arrival of a divine king known for righteousness. One is about the goddess's strength, the other is about Rama's life and values. Even where the calendar lines them up, the spirit of each is its own.

How people observe them today

In practice, many families observe both, one flowing into the other during the spring month. Some households are more devoted to Devi and keep the nine nights of Navratri as the main event. Others are more devoted to Rama and treat Rama Navami as the high point. Regional customs vary quite a bit. In some parts of India, Chaitra Navratri is observed quietly, while in others it is a major celebration. Rama Navami is widely marked across the country, with processions and Ramayana recitations in many communities.