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МатематикаВопрос:
Представьте смешанные числа в виде неправильной дроби: 1) $$2\frac{5}{8} =$$ 2) $$5\frac{2}{9} =$$ 3) $$3\frac{4}{5} =$$ 4) $$2\frac{7}{11} =$$ 5) $$2\frac{1}{12} =$$ 6) $$2\frac{4}{9} =$$ 7) $$7\frac{1}{10} =$$ 8) $$4\frac{1}{7} =$$ 9) $$1\frac{3}{8} =$$ 10) $$10\frac{6}{7} =$$ 11) $$9\frac{3}{5} =$$ 12) $$8\frac{3}{4} =$$ 13) $$11\frac{2}{3} =$$ 14) $$10\frac{9}{13} =$$ 15) $$12\frac{1}{2} =$$ 16) $$3\frac{5}{6} =$$ 17) $$7\frac{1}{14} =$$ 18) $$2\frac{16}{17} =$$
Ответ:
Для преобразования смешанного числа в неправильную дробь, нужно целую часть умножить на знаменатель дробной части и прибавить к полученному произведению числитель дробной части. Результат записать в числитель неправильной дроби, а знаменатель оставить прежним.
1) $$2\frac{5}{8} = \frac{2 \cdot 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}$$
2) $$5\frac{2}{9} = \frac{5 \cdot 9 + 2}{9} = \frac{45 + 2}{9} = \frac{47}{9}$$
3) $$3\frac{4}{5} = \frac{3 \cdot 5 + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}$$
4) $$2\frac{7}{11} = \frac{2 \cdot 11 + 7}{11} = \frac{22 + 7}{11} = \frac{29}{11}$$
5) $$2\frac{1}{12} = \frac{2 \cdot 12 + 1}{12} = \frac{24 + 1}{12} = \frac{25}{12}$$
6) $$2\frac{4}{9} = \frac{2 \cdot 9 + 4}{9} = \frac{18 + 4}{9} = \frac{22}{9}$$
7) $$7\frac{1}{10} = \frac{7 \cdot 10 + 1}{10} = \frac{70 + 1}{10} = \frac{71}{10}$$
8) $$4\frac{1}{7} = \frac{4 \cdot 7 + 1}{7} = \frac{28 + 1}{7} = \frac{29}{7}$$
9) $$1\frac{3}{8} = \frac{1 \cdot 8 + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8}$$
10) $$10\frac{6}{7} = \frac{10 \cdot 7 + 6}{7} = \frac{70 + 6}{7} = \frac{76}{7}$$
11) $$9\frac{3}{5} = \frac{9 \cdot 5 + 3}{5} = \frac{45 + 3}{5} = \frac{48}{5}$$
12) $$8\frac{3}{4} = \frac{8 \cdot 4 + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4}$$
13) $$11\frac{2}{3} = \frac{11 \cdot 3 + 2}{3} = \frac{33 + 2}{3} = \frac{35}{3}$$
14) $$10\frac{9}{13} = \frac{10 \cdot 13 + 9}{13} = \frac{130 + 9}{13} = \frac{139}{13}$$
15) $$12\frac{1}{2} = \frac{12 \cdot 2 + 1}{2} = \frac{24 + 1}{2} = \frac{25}{2}$$
16) $$3\frac{5}{6} = \frac{3 \cdot 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6}$$
17) $$7\frac{1}{14} = \frac{7 \cdot 14 + 1}{14} = \frac{98 + 1}{14} = \frac{99}{14}$$
18) $$2\frac{16}{17} = \frac{2 \cdot 17 + 16}{17} = \frac{34 + 16}{17} = \frac{50}{17}$$
1) $$2\frac{5}{8} = \frac{2 \cdot 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}$$
2) $$5\frac{2}{9} = \frac{5 \cdot 9 + 2}{9} = \frac{45 + 2}{9} = \frac{47}{9}$$
3) $$3\frac{4}{5} = \frac{3 \cdot 5 + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}$$
4) $$2\frac{7}{11} = \frac{2 \cdot 11 + 7}{11} = \frac{22 + 7}{11} = \frac{29}{11}$$
5) $$2\frac{1}{12} = \frac{2 \cdot 12 + 1}{12} = \frac{24 + 1}{12} = \frac{25}{12}$$
6) $$2\frac{4}{9} = \frac{2 \cdot 9 + 4}{9} = \frac{18 + 4}{9} = \frac{22}{9}$$
7) $$7\frac{1}{10} = \frac{7 \cdot 10 + 1}{10} = \frac{70 + 1}{10} = \frac{71}{10}$$
8) $$4\frac{1}{7} = \frac{4 \cdot 7 + 1}{7} = \frac{28 + 1}{7} = \frac{29}{7}$$
9) $$1\frac{3}{8} = \frac{1 \cdot 8 + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8}$$
10) $$10\frac{6}{7} = \frac{10 \cdot 7 + 6}{7} = \frac{70 + 6}{7} = \frac{76}{7}$$
11) $$9\frac{3}{5} = \frac{9 \cdot 5 + 3}{5} = \frac{45 + 3}{5} = \frac{48}{5}$$
12) $$8\frac{3}{4} = \frac{8 \cdot 4 + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4}$$
13) $$11\frac{2}{3} = \frac{11 \cdot 3 + 2}{3} = \frac{33 + 2}{3} = \frac{35}{3}$$
14) $$10\frac{9}{13} = \frac{10 \cdot 13 + 9}{13} = \frac{130 + 9}{13} = \frac{139}{13}$$
15) $$12\frac{1}{2} = \frac{12 \cdot 2 + 1}{2} = \frac{24 + 1}{2} = \frac{25}{2}$$
16) $$3\frac{5}{6} = \frac{3 \cdot 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6}$$
17) $$7\frac{1}{14} = \frac{7 \cdot 14 + 1}{14} = \frac{98 + 1}{14} = \frac{99}{14}$$
18) $$2\frac{16}{17} = \frac{2 \cdot 17 + 16}{17} = \frac{34 + 16}{17} = \frac{50}{17}$$
