Question

Надо решить примеры по смешанным дробям. Распишите , а то не засчитаю .

Answer 1

№1.
$5 frac{5}{9} + 2 frac{1}{18} = (5+2)+ frac{5*2+1}{18} = 7 + frac{11}{18} = 7 frac{11}{18} \ \ \ 5 frac{7}{24} -3 frac{11}{36} = frac{5*24+7}{24} - frac{3*36+11}{36} = frac{127}{24} - frac{119}{36} = \ \ =frac{127*3}{24*3} - frac{119*2}{36*2} = frac{381-238}{72} = frac{143}{72} = 1 frac{71}{72}$


$2 frac{9}{26} +3 frac{7}{39} -4 frac{7}{13} = frac{2*26+9}{26} + frac{3*39+7}{39} - frac{4*13+7}{13} = frac{61*3}{26*3} + frac{124*2}{39*2} - frac{59*6}{13*6} = \ \ = frac{183+248-354}{78} = frac{77}{78}$

№2.
$1 frac{1}{6} * 3 frac{3}{7} = frac{7}{6} * frac{3*7+3}{7} = frac{7*24}{6*7} = frac{1*4}{1*1} =4 \ \ \ 2 frac{4}{11} :2 frac{11}{14} = frac{2*11+4}{11} : frac{2*14+11}{14} = frac{26}{11} : frac{39}{14} = frac{26*14}{11*39} = frac{2*14}{11*3} = frac{28}{33} \ \ \ 4 frac{1}{5} : 2 frac{1}{10} *1 frac{5}{6} = frac{4*5+1}{5} : frac{2*10+1}{10} * frac{1*6+5}{6} = frac{21}{5} * frac{10}{21} * frac{11}{6} = \ \ = frac{1*1*11}{1*1 *3} = 3 frac{2}{3}$

№3.
$4: 4 frac{4}{5} + 2 frac{2}{7} * 5 frac{1}{4} - 7 frac{11}{12} =4 frac{11}{12} \ \ 1) 4 : 4 frac{4}{5} = frac{4}{1} * frac{5}{24} = frac{5}{6} \ \ 2) 2 frac{2}{7} * 5 frac{1}{4}= frac{16}{7} * frac{21}{4} = frac{4*3}{1*1} = 12 \ \ 3) frac{5}{6} +12 = 12 frac{5}{6} \ \ 4) 12 frac{5}{6} - 7 frac{11}{12} = frac{12*6+5}{6} - frac{7*12+11}{12} = frac{77*2}{6*2} - frac{95}{12} = frac{154-95}{12} = frac{59}{12} =4 frac{11}{12}$