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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    To change a common fraction to a decimal, do a long division of the decimal representations of the numerator by the denominator (this is idiomatically also phrased as "divide the denominator into the numerator"), and round the answer to the desired accuracy. For example, to change ⁠ 1 / 4 ⁠ to a decimal, divide 1.00 by 4 (" 4 into 1.00 ...

  3. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    If the ratio consists of only two values, it can be represented as a fraction, in particular as a decimal fraction. For example, older televisions have a 4:3 aspect ratio, which means that the width is 4/3 of the height (this can also be expressed as 1.33:1 or just 1.33 rounded to two decimal places). More recent widescreen TVs have a 16:9 ...

  4. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple ...

  5. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    Conversely the period of the repeating decimal of a fraction ⁠ c / d ⁠ will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction ⁠ 2 / 7 ⁠ has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction ⁠ 2 / 7 ⁠ is ...

  6. Decimal - Wikipedia

    en.wikipedia.org/wiki/Decimal

    The decimal numeral system (also called the base-ten positional numeral system and denary / ˈdiːnəri / [1] or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is ...

  7. Decimal representation - Wikipedia

    en.wikipedia.org/wiki/Decimal_representation

    Every decimal representation of a rational number can be converted to a fraction by converting it into a sum of the integer, non-repeating, and repeating parts and then converting that sum to a single fraction with a common denominator. For example, to convert. 8.123 {\textstyle \pm 8.123 {\overline {4567}}} to a fraction one notes the lemma:

  8. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.

  9. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    Irreducible fraction. An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1] In other words, a fraction ⁠a b⁠ is irreducible if and only if a and ...

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