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    Fraction to Decimal Converter

    Convert Fraction to Decimal

    Fraction to Decimal Converter

    Fraction to convert

    How to convert a fraction to a decimal

    Example — the form’s default 3/8:

    3 ÷ 8 by long division

    remainder×10= digit × 8 + new remainderdigit
    3303 × 8 + 63
    6607 × 8 + 47
    4405 × 8 + 05

    The remainder reaches 0 after 3 steps → 0.375 ends.

    Divide the numerator by the denominator. If the reduced denominator has only 2s and 5s, the decimal ends; otherwise a remainder comes back and the digits repeat.

    See Also

    FAQ

    How do you convert a fraction to a decimal?

    Divide the numerator by the denominator. For example, 3/8 means 3 ÷ 8, which equals 0.375. The division either ends (a terminating decimal) or settles into a repeating pattern.

    Why do some fractions become repeating decimals?

    A fraction gives a repeating decimal when its denominator (in lowest terms) has a prime factor other than 2 or 5. For example, 1/3 = 0.333… repeats, while 3/8 = 0.375 terminates because 8 = 2×2×2.

    How do you convert a mixed number to a decimal?

    Convert the fractional part by dividing, then add the whole part. For example, 1 3/8 becomes 3 ÷ 8 = 0.375, plus the whole number 1, giving 1.375.