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The Collaborative International Dictionary
In half

Half \Half\ (h[aum]f), n.; pl. Halves (h[aum]vz). [AS. healf. See Half, a.]

  1. Part; side; behalf. [Obs.]
    --Wyclif.

    The four halves of the house.
    --Chaucer.

  2. One of two equal parts into which anything may be divided, or considered as divided; -- sometimes followed by of; as, a half of an apple.

    Not half his riches known, and yet despised.
    --Milton.

    A friendship so complete Portioned in halves between us.
    --Tennyson.

    Better half. See under Better.

    In half, in two; an expression sometimes used improperly instead of in halves or into halves; as, to cut in half. [Colloq.]
    --Dickens.

    In one's half or On one's half, in one's behalf; on one's part. [Obs.]

    To cry halves, to claim an equal share with another.

    To go halves, to share equally between two.

Wiktionary
in half

prep.phr. 1 (label en set phrase) Into two halves. 2 (label en set phrase) By a divisor of two; to a numerical value which is half of the original value.