a).
[tex] \frac{7}{3} - \frac{4}{3} = \frac{3}{3} = \blue{1} [/tex]
b).
[tex] \frac{17}{5} - \frac{7}{5} = \frac{10}{5} = 10 \div 5 = \frac{}{} {2} [/tex]
c).
[tex] \frac{17}{60} - \frac{2}{60} = \frac{15}{60} = 60 \div 15 = \red{4} [/tex]
d).
[tex] \frac{23}{42} - \frac{2}{42} = \frac{21}{42} = 42 \div 21 = \blue{2} [/tex]
e).
[tex]4 \: \frac{2}{3} - 1 \: \frac{1}{3} = \frac{4 \times 3 + 2}{3} - \frac{1 \times 3 + 1}{3} = \frac{14}{3} - \frac{4}{3} = \frac{10}{3} [/tex]
f).
[tex]4 \: \frac{5}{9} - 2 \: \frac{2}{9} = \frac{4 \times 9 + 5}{9} - \frac{2 \times 9 + 2}{9} = \frac{41}{9} - \frac{20}{9} = \frac{21(3}{9(3} = \orange{ \frac{7}{3} } [/tex]
g).
[tex]7 \: \frac{11}{15} - 2 \: \frac{1}{15} = \frac{7 \times 15 + 11}{15} - \frac{2 \times 15 + 1}{15} = \frac{116}{15} - \frac{31}{15} = \frac{85(5}{15(5} = \red{ \frac{17}{3} } [/tex]
h).
[tex]9 \: \frac{11}{20} - 9\: \frac{7}{20} = \frac{9 \times 20 + 11}{20} - \frac{9 \times 20 + 7}{20} = \frac{191}{20} - \frac{187}{20} = \frac{4(4}{20(4} = \green{ \frac{1}{5} } [/tex]
i).
[tex]4 \: \frac{5}{6} - 1 \: \frac{1}{6} = \frac{4 \times 6 + 5}{6} - \frac{1 \times 6 + 1}{6} = \frac{29}{6} - \frac{7}{6} = \frac{22(2}{6(2} = \pink{ \frac{11}{3} } [/tex]
j).
[tex]3 \: \frac{8}{9} - 2 \: \frac{2}{9} = \frac{3 \times 9 + 8}{9} - \frac{2 \times 9 + 2}{9} = \frac{35}{9} - \frac{20}{9} = \frac{15(3}{9(3} = \red{ \frac{5}{3} } [/tex]
k).
[tex]7 \: \frac{10}{15} - 2 \: \frac{1}{15} = \frac{7 \times 15 + 10}{15} - \frac{2 \times 15 + 1}{15} = \frac{115}{15} - \frac{31}{15} = \frac{84(3}{15(3} = \orange{ \frac{28}{5} } [/tex]
l).
[tex]9 \: \frac{3}{4} - 9 \: \frac{1}{4} = \frac{9 \times 4 + 3}{4} - \frac{9 \times 4 + 1}{4} = \frac{39}{4} - \frac{37}{4} = \frac{2(2}{4(2} = \pink{ \frac{1}{2} } [/tex]
Explicații :
" ( " înseamnă împărțire, simplificare.
La unele ecuații am introdus întregii în fracții, pentru a putea caclcula .
Succes!
