47. Вычислите: 1) 2 5/3 + 5/8; 2) 7/12 - 1/8; 3) 3/16 - 1/8; 4) 35/24 + 10/3; 5) 15 9/15 - 9/15; 6) 4/15 + 7/12; 7) 11/5 - 36/48; 8) 1/5 + 2/15 + 4/3; 9) 7/8 + 11/12 - 5/6.

1.

\( 2 \frac{5}{3} + \frac{5}{8} = \frac{11}{3} + \frac{5}{8} = \frac{11 \cdot 8 + 5 \cdot 3}{24} = \frac{88 + 15}{24} = \frac{103}{24} = 4 \frac{7}{24} \)

2.

\( \frac{7}{12} - \frac{1}{8} = \frac{7 \cdot 2 - 1 \cdot 3}{24} = \frac{14 - 3}{24} = \frac{11}{24} \)

3.

\( \frac{3}{16} - \frac{1}{8} = \frac{3}{16} - \frac{1 \cdot 2}{8 \cdot 2} = \frac{3 - 2}{16} = \frac{1}{16} \)

4.

\( \frac{35}{24} + \frac{10}{3} = \frac{35}{24} + \frac{10 \cdot 8}{3 \cdot 8} = \frac{35 + 80}{24} = \frac{115}{24} = 4 \frac{23}{24} \)

5.

\( 15 \frac{9}{15} - \frac{9}{15} = 15 \)

6.

\( \frac{4}{15} + \frac{7}{12} = \frac{4 \cdot 4 + 7 \cdot 5}{60} = \frac{16 + 35}{60} = \frac{51}{60} = \frac{17}{20} \)

7.

\( \frac{11}{5} - \frac{36}{48} = \frac{11}{5} - \frac{3 \cdot 12}{4 \cdot 12} = \frac{11}{5} - \frac{3}{4} = \frac{11 \cdot 4 - 3 \cdot 5}{20} = \frac{44 - 15}{20} = \frac{29}{20} = 1 \frac{9}{20} \)

8.

\( \frac{1}{5} + \frac{2}{15} + \frac{4}{3} = \frac{1 \cdot 3 + 2}{15} + \frac{4}{3} = \frac{3 + 2}{15} + \frac{4}{3} = \frac{5}{15} + \frac{4}{3} = \frac{1}{3} + \frac{4}{3} = \frac{1 + 4}{3} = \frac{5}{3} = 1 \frac{2}{3} \)

9.

\( \frac{7}{8} + \frac{11}{12} - \frac{5}{6} = \frac{7 \cdot 3 + 11 \cdot 2 - 5 \cdot 4}{24} = \frac{21 + 22 - 20}{24} = \frac{43 - 20}{24} = \frac{23}{24} \)