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Category: Algebra

70 of 130

70 of 130

Input 70/130 Exact result 7/13 Decimal approximation 0.538461538461538461538461538461538461538461538461538461538… Repeating decimal 0.538461^_ (period 6) Percentage 53.85% Prime factorization 7×13^(-1) Continued fraction [0; 1, 1, 6] Egyptian fraction expansion 1/2 + 1/26 Occurrence in convergents pi^4/180~~0, 1, 1/2, 6/11, 7/13, 13/24, 33/61, … (simple continued fraction convergent sequence)

5000/21

5000/21

Input 5000/21 Exact result 5000/21 (irreducible) Decimal approximation 238.0952380952380952380952380952380952380952380952380952380… Repeating decimal 238.095238^_ (period 6) Mixed fraction 238 2/21 Quotient and remainder 238×21 + 2 Prime factorization 2^3×3^(-1)×5^4×7^(-1) Continued fraction [238; 10, 2] Egyptian fraction expansion 238 + 1/11 + 1/231