
froh sein
to be glad
To be happy, relieved, or pleased about something.
Ich bin so froh, dass die Prüfung vorbei ist.
I'm so glad that the exam is over.
glad
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to be glad
To be happy, relieved, or pleased about something.
Ich bin so froh, dass die Prüfung vorbei ist.
I'm so glad that the exam is over.

merry / happy
Used in fixed greetings for holidays such as Christmas or Easter to express good wishes.
Ich wünsche Ihnen und Ihrer Familie frohe Weihnachten!
I wish you and your family a merry Christmas!
When expressing joy about a thing, you use 'froh über' with the accusative. When you are happy about a situation, you use a subordinate clause with 'dass' (that).
Ich bin froh über deine Hilfe.
I'm glad about your help.
The adjective 'froh' (glad) is almost always used together with the verb 'sein' (to be), e.g. 'ich bin froh' (I am glad), 'er war froh' (he was glad). Using it directly before a noun is rare.
Wir sind alle froh, dass das Projekt erfolgreich war.
We are all glad that the project was successful.
In the meaning 'fröhlich' (merry/cheerful), 'froh' is now almost only part of fixed greetings for holidays. The most common are 'Frohe Weihnachten' (Merry Christmas) and 'Frohe Ostern' (Happy Easter).
Wir wünschen euch allen ein frohes neues Jahr!
We wish you all a happy new year!
to look forward / to be pleased
„Sich freuen“ and „froh sein“ can both express a positive reaction to something. „Sich freuen“ tends to emphasize joy about an event, while „froh“ can also suggest relief or an already existing state. Choose „froh“ when you are especially relieved; otherwise, „sich freuen“ is often suitable.

Ich bin froh, dass die gute Nachricht heute endlich gekommen ist.
I am glad that the good news finally arrived today.
Ich freue mich über die gute Nachricht von heute.
I am pleased about today's good news.