Надо решить примеры по смешанным дробям. Распишите , а то не засчитаю .. Created by duzicduzic. matematika-ru

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

duzicduzic @duzicduzic

June 2022 1 10 Report

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

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zhenyaM2002

Verified answer

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

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