Answer:
Walking on the beach - Participial Phrase
To precisely convey ideas - Infinitive Phrase
Running in a race - Gerund Phrase
Explanation:
Words that usually formed with verbs but can be used as nouns in other circumstances are called gerunds. For instance, in the above sentence, the words create a gerund phrase because they serve as subjects of the given sentence. In other words, the gerunds have relationship to the participial phrases because both of them have an ending of –ing, which is a suffix of the root word. Therefore, complete gerund functions as an object, noun, or a predicate. while a participial phrase functions as an adjective not as a verb. Infinitive phrase often starts with the word "To".