empezar a dar carcajadas

(v.) = burst into + a fit of laughter, burst into + side-splitting laughter

Ex. Napoleon burst into a loud fit of laughter, gave him a slap in the face, called him a clever fellow, and made him a captain in the artillery.

Ex. Finally, when the two workers, frozen to the marrow, emerged from beneath the water, the spectators burst into side-splitting laughter.

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(v.) = burst into + a fit of laughter, burst into + side-splitting laughter

Ex: Napoleon burst into a loud fit of laughter, gave him a slap in the face, called him a clever fellow, and made him a captain in the artillery.

Ex: Finally, when the two workers, frozen to the marrow, emerged from beneath the water, the spectators burst into side-splitting laughter.