unbeschwert
carefree
Free from worries, problems, or fears; lighthearted and cheerful.
Die Kinder spielten unbeschwert im Garten.
The children played carefree in the garden.

carefree
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carefree
Free from worries, problems, or fears; lighthearted and cheerful.
Die Kinder spielten unbeschwert im Garten.
The children played carefree in the garden.

The word consists of the prefix 'un-' and 'beschwert' (burdened). 'Beschwert' means 'loaded with a burden or worry.' So 'unbeschwert' literally means 'without a burden' or 'without worries.'
Nach der bestandenen Prüfung fühlte er sich leicht und unbeschwert.
After passing the exam, he felt light and carefree.
'Unbeschwert' is often used to describe a positive, worry-free time. Common combinations are 'eine unbeschwerte Kindheit' (a carefree childhood), 'unbeschwerte Tage' (carefree days), or 'ein unbeschwerter Urlaub' (a carefree vacation).
Wir verbrachten einen unbeschwerten Nachmittag am See.
We spent a carefree afternoon by the lake.
The word is often used as an adverb to describe an action that is carried out cheerfully and without worries. It then stands directly with the verb.
Die Kinder lachten und sangen unbeschwert.
The children laughed and sang carefree.
cheerful
'fröhlich' and 'unbeschwert' both describe a positive, light mood. 'fröhlich' emphasizes visible joy and good spirits, for example a smile, laughter, or a cheerful manner. 'unbeschwert' emphasizes more that someone is free from worries and feels light. A person can be 'unbeschwert' without seeming especially loud or visibly cheerful. 'fröhlich' fits well when you can directly see the good mood. 'unbeschwert' fits better when the focus is on a carefree feeling or an easy, carefree time.

Im Sommer verbringen die Kinder unbeschwerte Tage am See.
In the summer, the children spend carefree days by the lake.
Die Verkäuferin begrüßt die Kunden fröhlich, obwohl der Laden voll ist.
The saleswoman greets the customers cheerfully, even though the shop is full.