Question

А)1,(0) 0,(3) 0,(7) Б)0,1(2) 1,12(3) 7,5(4) В)0,(12) 1,0(12) 8,7(21) Г)23,5(0) 23,5(1) 23,5(13) 23,5(127) Запишите периодические дроби в виде обыкн-дробей

Answer 1

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Answer 2

А) $1,\overline{0} = \frac{10}{9}$

$0,\overline{3} = \frac{1}{3}$

$0,\overline{7} = \frac{7}{9}$

Б) $0,1\overline{2} = \frac{10}{99}$

$1,12\overline{3} = 1 + \frac{12}{10} + \frac{3}{990} = \frac{1123}{990}$

$7,5\overline{4} = 7 + \frac{5}{10} + \frac{4}{990} = \frac{749}{99}$

В) $0,\overline{12} = \frac{1}{83}$

$1,0\overline{12} = 1 + \frac{1}{83} = \frac{84}{83}$

$8,7\overline{21} = 8 + \frac{7}{10} + \frac{21}{990} = \frac{877}{99}$

Г) $23,5\overline{0} = 23\frac{1}{2} = \frac{47}{2}$

$23,5\overline{1} = 23\frac{15}{62} = \frac{1451}{62}$

$23,5\overline{13} = 23\frac{41}{186} = \frac{4547}{186}$

$23,5\overline{127} = 23\frac{637}{2550} = \frac{5843}{238}$