a)
[tex] \frac{ \frac{2}{3} }{ \frac{4}{9} } = \frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{1}{1} \times \frac{3}{2} = \frac{3}{2} [/tex]
b)
[tex] \frac{1}{ \frac{1}{6} } = 1 \div \frac{1}{6} = 1 \times 6 = 6[/tex]
c)
[tex] \frac{10}{ \frac{5}{3} } = 10 \div \frac{5}{3} = 10 \times \frac{3}{5} = \frac{30}{5} = 6[/tex]
d)
[tex] \frac{ 1\frac{1}{3} }{16} = \frac{ \frac{1 \times 3 + 1}{3} }{16} = \frac{ \frac{4}{3} }{16} = \frac{4}{3} \times \frac{1}{16} = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12} [/tex]
e)
[tex] \frac{ 2\frac{1}{2} }{10} = \frac{ \frac{2 \times 2 + 1}{2} }{10} = \frac{ \frac{5}{2} }{10} = \frac{5}{2} \times \frac{1}{10} = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} [/tex]
f)
[tex] \frac{ \frac{3}{7} }{9 } = \frac{3}{7} \times \frac{1}{9} = \frac{1}{7} \times \frac{1}{3} = \frac{1}{21} [/tex]
g)
[tex] \frac{5}{3\frac{1}{3} } = \frac{5}{ \frac{3 \times 3 + 1}{3} } = \frac{5}{ \frac{10}{3} } = 5 \times \frac{3}{10} = \frac{15}{10} = \frac{3}{2} [/tex]
h)
[tex] \frac{1 \frac{1}{5} }{12} = \frac{ \frac{1 \times 5 + 1}{5} }{12} = \frac{ \frac{6}{5} }{12} = \frac{6}{5} \times \frac{1}{12} = \frac{6}{60} = \frac{1}{10} [/tex]
i)
[tex] \frac{2 \frac{1}{3} }{3 \frac{1}{2} } = \frac{ \frac{2 \times 3 + 1}{3} }{ \frac{3 \times 2 + 1}{2} } = \frac{ \frac{7}{3} }{ \frac{7}{2} } = \frac{7}{3} \times \frac{2}{7} = \frac{1}{3} \times \frac{2}{1} = \frac{2}{3} [/tex]
j)
[tex]\frac{12}{3 \frac{2}{6} } = \frac{12}{ \frac{3 \times 6 + 2}{6} } = \frac{12}{ \frac{20}{6} } = 12 \times \frac{6}{20} = 12 \times \frac{3}{10} = 6 \times \frac{3}{5} = \frac{18}{5} [/tex]
k)
[tex] \frac{ \frac{5}{6} }{2 \frac{11}{12} } = \frac{ \frac{5}{6} }{ \frac{2 \times 12 + 11}{12} } = \frac{ \frac{5}{6} }{ \frac{35}{12} } = \frac{5}{6} \times \frac{12}{35} = \frac{1}{1} \times \frac{2}{7} = \frac{2}{7} [/tex]
l)
[tex] \frac{ \frac{8}{9} }{1 \frac{1}{3} } = \frac{ \frac{8}{9} }{ \frac{1 \times 3 + 1}{3} } = \frac{ \frac{8}{9} }{ \frac{4}{3} } = \frac{8}{9} \times \frac{3}{4} = \frac{4}{3} \times \frac{1}{2} = \frac{4}{6} = \frac{2}{3} [/tex]
sper că te-am ajutat!
