Question

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Answer 1

Răspuns:

1.

$\frac{7}{3} =\frac{2*3+1}{3} =2\frac{1}{3}$

$\frac{35}{5} =\frac{5*7}{5} =7$

$\frac{54}{17} =\frac{3*17+3}{17} =3\frac{3}{17}$

$\frac{134}{23} =\frac{5*23+19}{23} =5\frac{19}{23}$

$\frac{4}{3} =\frac{1*4+1}{3} =1\frac{1}{3}$

$\frac{5}{2} =\frac{2*2+1}{2} =2\frac{1}{2}$

$\frac{7}{4} =\frac{1*4+3}{4} =1\frac{1}{4}$

$\frac{8}{7} =\frac{1*7+1}{7} =1\frac{1}{7}$

$\frac{11}{9} =\frac{1*9+2}{9} =1\frac{2}{9}$

$\frac{23}{4} =\frac{5*4+3}{4} =5\frac{3}{4}$

$\frac{36}{5} =\frac{7*5+1}{5} =7\frac{1}{5}$

$\frac{51}{6} =\frac{8*6+3}{6} =8\frac{3}{6} =8\frac{1}{2}$

$\frac{54}{14} =\frac{3*14+12}{14} =3\frac{12}{14} =3\frac{6}{7}$

$\frac{124}{23} =\frac{5*23+9}{23} =5\frac{9}{23}$

2. a) $\frac{17}{5} =\frac{3*5+2}{5} =3\frac{2}{5}$

$\frac{12}{8} =\frac{1*8+4}{8} =1\frac{4}{8} =1\frac{1}{2}$

$\frac{10}{5} =\frac{2*5}{5} =2$

$1\frac{1}{2} <2<3\frac{2}{5}$ ⇒ $\frac{12}{8} <\frac{10}{5} <\frac{17}{5}$

b) $\frac{110}{10} =\frac{11*10}{10} =11$

$\frac{135}{12} =\frac{11*12+5}{12} =11\frac{5}{12}$

$\frac{96}{9} =\frac{10*9+6}{9} =10\frac{6}{9} =10\frac{2}{3}$

$11\frac{5}{12 } >11>10\frac{2}{3}$ ⇒ $\frac{135}{12} >\frac{110}{10} >\frac{96}{6}$

c) $\frac{54}{6} =\frac{9*6}{6} =9$

$\frac{65}{6} =\frac{10*6+5}{6} =10\frac{5}{6}$

$\frac{101}{9} =\frac{11*9+2}{9} =11\frac{2}{9}$

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