Question

57/15 минус 3/20 2) 1 5/12 минус 9/10 3)6 3/10 минус 11/15 4) 5 7/8 минус 9/10 5) 7 5/12 минус 3 2/9 6) 10 1/2 минус 4 9/14 7) 7 4/7 минус 5 7/9 8) 2 3/10 минус 1 11/15. 9) 5 3/8 минус 3 5/6

Answer 1

1)

$\tt\displaystyle 5\frac{7}{15}-\frac{3}{20}=\frac{5*15+7}{20}-\frac{3}{20}=\frac{82}{15}-\frac{3}{20}=\frac{82*4}{15*4}-\frac{3*3}{20*3}=\\\\\\=\frac{328}{60}-\frac{9}{60}=\frac{328-9}{60}=\frac{319}{60}=\bold5\bold{\frac{19}{60}}$

2)

$\tt\displaystyle 1\frac{5}{12}-\frac{9}{10}=\frac{1*12+5}{12}-\frac{9}{10}=\frac{17}{12}-\frac{9}{10}=\frac{17*5}{12*5}-\frac{9*6}{10*6}=\\\\\\=\frac{85}{60}-\frac{54}{60}=\frac{85-54}{60}=\bold{\frac{31}{60}}$

3)

$\tt\displaystyle 6\frac{3}{10}-\frac{11}{15}=\frac{6*10+3}{10}-\frac{11}{15}=\frac{63}{10}-\frac{11}{15}=\frac{63*3}{10*3}-\frac{11*2}{15*2}=\\\\\\=\frac{189}{30}-\frac{22}{30}=\frac{189-22}{30}=\frac{167}{30}=\bold5\bold{\frac{17}{30}}$

4)

$\tt\displaystyle 5\frac{7}{8}-\frac{9}{10}=5,875-0,9=\bold{4,975}$

5)

$\tt\displaystyle 7\frac{5}{12}-3\frac{2}{9}=\frac{7*12+5}{12}-\frac{3*9+2}{9}=\frac{89}{12}-\frac{29}{9}=\frac{89*3}{12*3}-\frac{29*4}{9*4}=\\\\\\=\frac{267}{36}-\frac{116}{36}=\frac{267-116}{36}=\frac{151}{36}=\bold{4\frac{7}{36}}$

6)

$\tt\displaystyle 10\frac{1}{2}-4\frac{9}{14}=\frac{10*2+1}{2}-\frac{4*14+9}{14}=\frac{21}{2}-\frac{65}{14}=\frac{21*7}{2*7}-\frac{65}{14}=\\\\\\=\frac{147}{14}-\frac{65}{14}=\frac{147-65}{14}=\frac{82}{14}=\bold{5\frac{6}{7}}$

7)

$\tt\displaystyle 7\frac{4}{7}-5\frac{7}{9}=\frac{7*7+4}{7}-\frac{5*9+7}{9}=\frac{53}{7}-\frac{52}{9}=\frac{53*9}{7*9}-\frac{52*7}{9*7}=\\\\\\=\frac{477}{63}-\frac{364}{63}=\frac{477-364}{63}=\frac{113}{63}=\bold{1\frac{50}{63}}$

8)

$\tt\displaystyle 2\frac{3}{10}-1\frac{11}{15}=\frac{2*10+3}{10}-\frac{1*15+11}{15}=\frac{23}{10}-\frac{26}{15}=\frac{23*3}{10*3}-\frac{26*2}{15*2}=\\\\\\=\frac{69}{30}-\frac{52}{30}=\frac{69-52}{30}=\bold{\frac{17}{30}}$

9)

$\tt\displaystyle 5\frac{3}{8}-3\frac{5}{6}=(5-3)+(\frac{3}{8}-\frac{5}{6})=2+(\frac{3*3}{8*3}-\frac{5*4}{6*4})=\\\\\\=2+(\frac{9}{24}-\frac{20}{24})=2-\frac{11}{24}=1\frac{24}{24}-\frac{11}{24}=\bold{1\frac{13}{24}}$

Answer 2

Пошаговое объяснение:

1)

$5\frac{7}{15} - \frac{3}{20} = 5 \frac{28}{60} - \frac{9}{60} = 5\frac{19}{60} ;$

2)

$1\frac{5}{12} -\frac{9}{10} =1\frac{25}{60} -\frac{54}{60} = \frac{85}{60} -\frac{54}{60}=\frac{31}{60} ;$

3)

$6\frac{3}{10} -\frac{11}{15} = 6\frac{9}{30} -\frac{22}{30} = 5\frac{39}{30} - \frac{22}{30} = 5\frac{17}{30} ;$

4)

$5\frac{7}{8} -\frac{9}{10} = 5\frac{35}{40} - \frac{36}{40} = 4\frac{75}{40} -\frac{36}{40} =4\frac{39}{40} ;$

5)

$7\frac{5}{12} -3\frac{2}{9} = 7\frac{15}{36} -3\frac{8}{36} = 4\frac{7}{36} ;$

6)

$10\frac{1}{2} -4\frac{9}{14} = 10\frac{7}{14} -4\frac{9}{14} = 9\frac{21}{14} -4\frac{9}{14} = 5\frac{12}{14} =5\frac{6}{7};$

7)

$7\frac{4}{7} -5\frac{7}{9} = 7\frac{36}{63} -5\frac{49}{63} = 6\frac{99}{63} -5\frac{49}{63} =1\frac{50}{63} ;$

8)

$2\frac{3}{10} - 1\frac{11}{15} = 2\frac{9}{30} -1 \frac{22}{30} = 1\frac{39}{30} -1 \frac{22}{30} = \frac{17}{30} ;$

9)

$5\frac{3}{8} -3\frac{5}{6} =5\frac{9}{24} -3\frac{20}{24}=4\frac{33}{24} -3\frac{20}{24}= 1\frac{13}{24} .$