Question

выполи сложжение смешаных чисел 
4целых 2/5+9 целых3/7
2целых1/3+4 5/6
8 3/4+2 7/8
2 3/8+1 5/6
3 5/9 +4 2/3
6 1/5+1 2/3
4 3/8+8 1/2 
7 5/22+2 3/11

Answer 1

1) $4 frac{2}{5} + 9 frac{3}{7} = frac{4 * 5 + 2}{5} + frac{9 * 7 + 3}{7} = frac{22}{5} + frac{66}{7} = frac{7 * 22}{7 * 5} + frac{5 * 66}{5 * 7} = frac{154}{35} + frac{330}{35} =$ = $frac{154+330}{35} = frac{484}{35} = frac{35 * 13 +29}{35} = 13 frac{29}{35}$

2) $2 frac{1}{3} + 4 frac{5}{6} = frac{2*3+1}{3} + frac{4*6+5}{6} = frac{7}{3} + frac{29}{6} = frac{2*7}{2*3} + frac{29}{6} = frac{14}{6} + frac{29}{6} = frac{14+29}{6} = frac{43}{6}$ = $frac{6*7+1}{6} = 7 frac{1}{6}$

3) $8 frac{3}{4} + 2 frac{7}{8} = frac{8*4+3}{4} + frac{2*8+7}{8} = frac{35}{4} + frac{23}{8} = frac{2*35}{2*4} + frac{23}{8} = frac{70}{8} + frac{23}{8} =frac{70+23}{8} = frac{93}{8} = frac{8*11+5}{8} = 11 frac{5}{8}$

4) $2 frac{3}{8} + 1 frac{5}{6} = frac{2*8+3}{8} + frac{1*6+5}{6} = frac{19}{8} + frac{11}{6} = frac{3*19}{3*8} + frac{4*11}{4*6} = frac{57}{24} + frac{44}{24} =frac{57+44}{24} = frac{101}{24} = frac{24*4+5}{24} = 4 frac{5}{24}$

5) $3 frac{5}{9} + 4 frac{2}{3} = frac{3*9+5}{9} + frac{4*3+2}{3} = frac{32}{9} + frac{14}{3} = frac{32}{9} + frac{3*14}{3*3} = frac{32}{9} + frac{42}{9} = frac{32+42}{9}$ = $frac{32+42}{9} = frac{74}{9} = frac{9*8+2}{9} = 8 frac{2}{9}$

6) $6 frac{1}{5} + 1 frac{2}{3} = frac{6*5+1}{5} + frac{1*3+2}{3} = frac{31}{5} + frac{5}{3} = frac{3*31}{3*5} + frac{5*5}{5*3} = frac{93}{15} + frac{25}{15} = frac{93+25}{15}$ = $frac{118}{15} = frac{15*7+13}{15} = 7 frac{13}{15}$

7) $4 frac{3}{8} + 8 frac{1}{2} = frac{4*8+3}{8} + frac{8*2+1}{2} = frac{35}{8} + frac{17}{2} = frac{35}{8} + frac{4*17}{4*2} = frac{35}{8} + frac{68}{8}$ = $frac{35+68}{8} = frac{103}{8} = frac{8*12+7}{8} = 12 frac{7}{8}$

8) $7 frac{5}{22} + 2 frac{3}{11} = frac{7*22+5}{22} + frac{2*11+3}{11} = frac{159}{22} + frac{25}{11} = frac{159}{22} + frac{2*5}{2*11} = frac{159}{22} + frac{50}{22}$ = $frac{159+50}{22} = frac{209}{22} = frac{22*9+11}{22} = 9 frac{11}{22} = 9 frac{1}{2}$