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