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  2. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets

  3. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...

  4. Proof that 22/7 exceeds π - Wikipedia

    en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

    Systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < ⁠ 22 / 7 ⁠, which is approximately 3.142857. But it takes much less work to show that π < ⁠ 22 / 7 ⁠ by the method used in this proof than to show that π is approximately 3.14159.

  5. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    [12] [13] In general, a common fraction is said to be a proper fraction if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1. [14] [15] It is said to be an improper fraction, or sometimes top-heavy fraction, [16] if the absolute value of the fraction is greater than or ...

  6. Least common multiple - Wikipedia

    en.wikipedia.org/wiki/Least_common_multiple

    For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2. By the same principle, 10 is the least common multiple of −5 and −2 as well.

  7. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    2 ⁄ 3: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 1 ⁄ 5: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ⁄ 5: 0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 35: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0.166... Vulgar Fraction One Sixth 2159 8537 ⅚ 5 ⁄ 6: 0 ...

  8. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    3 / 13 ⁠ = 0. 230769 ⁠ 4 / 13 ⁠ = 0. 307692; where the repetend of each fraction is a cyclic re-arrangement of 076923. The second set is: ⁠ 2 / 13 ⁠ = 0. 153846 ⁠ 7 / 13 ⁠ = 0. 538461 ⁠ 5 / 13 ⁠ = 0. 384615 ⁠ 11 / 13 ⁠ = 0. 846153 ⁠ 6 / 13 ⁠ = 0. 461538 ⁠ 8 / 13 ⁠ = 0. 615384; where the repetend of each ...

  9. Egyptian fraction - Wikipedia

    en.wikipedia.org/wiki/Egyptian_fraction

    For instance, the primary pseudoperfect number 1806 is the product of the prime numbers 2, 3, 7, and 43, and gives rise to the Egyptian fraction 1 = ⁠ 1 / 2 ⁠ + ⁠ 1 / 3 ⁠ + ⁠ 1 / 7 ⁠ + ⁠ 1 / 43 ⁠ + ⁠ 1 / 1806 ⁠.