Input 20/22 Exact result 10/11 Decimal approximation 0.909090909090909090909090909090909090909090909090909090909… Repeating decimal 0.90^_ (period 2) Percentage 90.91% Prime factorization 2×5×11^(-1) Continued fraction [0; 1, 10] Egyptian fraction expansion 1/2 + 1/3 + 1/14 + 1/231 Occurrence in convergents e/3~~0, 1, 9/10, 10/11, 19/21, 29/32, … (simple continued fraction convergent sequence)
Input interpretation convert 4/50 to percent Result 4/50 = +8% (8% increase)
Input interpretation 40×70% Result 28 Number name twenty-eight
Input interpretation 900×20% Result 180 Number name one hundred eighty
Input 3/200 Exact result 3/200 (irreducible) Decimal form 0.015 Percentage 1.5% Prime factorization 2^(-3)×3×5^(-2) Continued fraction [0; 66, 1, 2] Egyptian fraction expansion 1/67 + 1/13400 Occurrence in convergents (5 pi)/1047~~0, 1/66, 1/67, 2/133, 3/200, 26/1733, 133/8865, … (simple continued fraction convergent sequence)
Input interpretation 300×18% Result 54 Number name fifty-four
Input 80/600 Exact result 2/15 Decimal approximation 0.133333333333333333333333333333333333333333333333333333333… Repeating decimal 0.13^_ (period 1) Percentage 13.33% Prime factorization 2×3^(-1)×5^(-1) Continued fraction [0; 7, 2] Egyptian fraction expansion 1/8 + 1/120
Input 65/40 Exact result 13/8 Decimal form 1.625 Mixed fraction 1 5/8 Quotient and remainder 1×40 + 25 Prime factorization 2^(-3)×13 Continued fraction [1; 1, 1, 1, 2] Egyptian fraction expansion 1 + 1/2 + 1/8
Input interpretation 1000×1.5% Result 15
Input 1500×30 Result 45000 Number name forty-five thousand