Задание 7. Представьте в виде неправильной дроби числа: А) 2 1/8; 1 3/11; 10 8/9; 5 4/5; 5; 6 7/8; 11 12/13; 4 7/32; 8 1/2; 7 2/15; 3 3/4; 8,7; 13 5/7; 1; 4 1/100. Б) 1 2/99; 15 1/10; 3 10/19; 1 2/121; 5 5/6; 7 15/100; 16,2; 14; 11 2/99; 6 5/32; 1 2/3; 10,5; 19 1/2; 18 1/5; 10. В) 2 6/19; 1 5/17; 3; 1 9/32; 15 7/8; 1 1/1000; 15 1/3; 8 3/7; 9 5/8; 9; 1 7/18; 9 3/8; 3 7/22; 2; 2,5.

Используем правило: смешанное число \(a\frac{b}{c}=\frac{ac+b}{c}\), целое число записываем со знаменателем 1, десятичную дробь превращаем в дробь со знаменателем \(10\), \(100\) или \(1000\).

А:

1. \(2\frac{1}{8}=\frac{17}{8}\);
2. \(1\frac{3}{11}=\frac{14}{11}\);
3. \(10\frac{8}{9}=\frac{98}{9}\);
4. \(5\frac{4}{5}=\frac{29}{5}\);
5. \(5=\frac{5}{1}\);
6. \(6\frac{7}{8}=\frac{55}{8}\);
7. \(11\frac{12}{13}=\frac{155}{13}\);
8. \(4\frac{7}{32}=\frac{135}{32}\);
9. \(8\frac{1}{2}=\frac{17}{2}\);
10. \(7\frac{2}{15}=\frac{107}{15}\);
11. \(3\frac{3}{4}=\frac{15}{4}\);
12. \(8{,}7=\frac{87}{10}\);
13. \(13\frac{5}{7}=\frac{96}{7}\);
14. \(1=\frac{1}{1}\);
15. \(4\frac{1}{100}=\frac{401}{100}\).

Б:

1. \(1\frac{2}{99}=\frac{101}{99}\);
2. \(15\frac{1}{10}=\frac{151}{10}\);
3. \(3\frac{10}{19}=\frac{67}{19}\);
4. \(1\frac{2}{121}=\frac{123}{121}\);
5. \(5\frac{5}{6}=\frac{35}{6}\);
6. \(7\frac{15}{100}=\frac{715}{100}\);
7. \(16{,}2=\frac{162}{10}\);
8. \(14=\frac{14}{1}\);
9. \(11\frac{2}{99}=\frac{1091}{99}\);
10. \(6\frac{5}{32}=\frac{197}{32}\);
11. \(1\frac{2}{3}=\frac{5}{3}\);
12. \(10{,}5=\frac{105}{10}\);
13. \(19\frac{1}{2}=\frac{39}{2}\);
14. \(18\frac{1}{5}=\frac{91}{5}\);
15. \(10=\frac{10}{1}\).

В:

1. \(2\frac{6}{19}=\frac{44}{19}\);
2. \(1\frac{5}{17}=\frac{22}{17}\);
3. \(3=\frac{3}{1}\);
4. \(1\frac{9}{32}=\frac{41}{32}\);
5. \(15\frac{7}{8}=\frac{127}{8}\);
6. \(1\frac{1}{1000}=\frac{1001}{1000}\);
7. \(15\frac{1}{3}=\frac{46}{3}\);
8. \(8\frac{3}{7}=\frac{59}{7}\);
9. \(9\frac{5}{8}=\frac{77}{8}\);
10. \(9=\frac{9}{1}\);
11. \(1\frac{7}{18}=\frac{25}{18}\);
12. \(9\frac{3}{8}=\frac{75}{8}\);
13. \(3\frac{7}{22}=\frac{73}{22}\);
14. \(2=\frac{2}{1}\);
15. \(2{,}5=\frac{25}{10}\).