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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The picture to the right illustrates ⁠ 3 / 4 ⁠ of a cake. Fractions can be used to represent ratios and division. [1] Thus the fraction ⁠ 3 / 4 ⁠ can be used to represent the ratio 3:4 (the ratio of the part to the whole), and the division 3 ÷ 4 (three divided by four).

  3. Division by two - Wikipedia

    en.wikipedia.org/wiki/Division_by_two

    To divide an odd number by 2 use the ... 2 or 3: 4 or 5: 6 or 7: 8 or 9 0 or 1: 2 or 3: 4 or 5: 6 or 7 ... a value that splits a set of data values into two equal ...

  4. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.

  5. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Often replaced by a horizontal bar. For example, 3 / 2 or . 2. Denotes a quotient structure. For example, quotient set, quotient group, quotient category, etc. 3. In number theory and field theory, / denotes a field extension, where F is an extension field of the field E. 4.

  6. Septimal minor third - Wikipedia

    en.wikipedia.org/wiki/Septimal_minor_third

    Septimal minor third on C Origin of large and small seconds and thirds in harmonic series. [2]In music, the septimal minor third, also called the subminor third (e.g., by Ellis [3] [4]) or septimal subminor third, is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. [5]

  7. Proportional cake-cutting with different entitlements - Wikipedia

    en.wikipedia.org/wiki/Proportional_cake-cutting...

    Suppose a cake has to be divided among Alice and George, Alice is entitled to 8/13 and George is entitled to 5/13. The cake can be divided as follows. Alice cuts the cake to 6 pieces with valuation-ratios 5:3:2:1:1:1. George marks the pieces that have for him at least the value mentioned by Alice.

  8. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    The ratio of width to height of standard-definition television. In mathematics, a ratio (/ ˈ r eɪ ʃ (i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

  9. Division algorithm - Wikipedia

    en.wikipedia.org/wiki/Division_algorithm

    Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.