Question

va rog repede dau coroana

Answer 1

a)

$\frac{ \frac{2}{3} }{ \frac{4}{9} } = \frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{1}{1} \times \frac{3}{2} = \frac{3}{2}$

b)

$\frac{1}{ \frac{1}{6} } = 1 \div \frac{1}{6} = 1 \times 6 = 6$

c)

$\frac{10}{ \frac{5}{3} } = 10 \div \frac{5}{3} = 10 \times \frac{3}{5} = \frac{30}{5} = 6$

d)

$\frac{ 1\frac{1}{3} }{16} = \frac{ \frac{1 \times 3 + 1}{3} }{16} = \frac{ \frac{4}{3} }{16} = \frac{4}{3} \times \frac{1}{16} = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$

e)

$\frac{ 2\frac{1}{2} }{10} = \frac{ \frac{2 \times 2 + 1}{2} }{10} = \frac{ \frac{5}{2} }{10} = \frac{5}{2} \times \frac{1}{10} = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

f)

$\frac{ \frac{3}{7} }{9 } = \frac{3}{7} \times \frac{1}{9} = \frac{1}{7} \times \frac{1}{3} = \frac{1}{21}$

g)

$\frac{5}{3\frac{1}{3} } = \frac{5}{ \frac{3 \times 3 + 1}{3} } = \frac{5}{ \frac{10}{3} } = 5 \times \frac{3}{10} = \frac{15}{10} = \frac{3}{2}$

h)

$\frac{1 \frac{1}{5} }{12} = \frac{ \frac{1 \times 5 + 1}{5} }{12} = \frac{ \frac{6}{5} }{12} = \frac{6}{5} \times \frac{1}{12} = \frac{6}{60} = \frac{1}{10}$

i)

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

j)

$\frac{12}{3 \frac{2}{6} } = \frac{12}{ \frac{3 \times 6 + 2}{6} } = \frac{12}{ \frac{20}{6} } = 12 \times \frac{6}{20} = 12 \times \frac{3}{10} = 6 \times \frac{3}{5} = \frac{18}{5}$

k)

$\frac{ \frac{5}{6} }{2 \frac{11}{12} } = \frac{ \frac{5}{6} }{ \frac{2 \times 12 + 11}{12} } = \frac{ \frac{5}{6} }{ \frac{35}{12} } = \frac{5}{6} \times \frac{12}{35} = \frac{1}{1} \times \frac{2}{7} = \frac{2}{7}$

l)

$\frac{ \frac{8}{9} }{1 \frac{1}{3} } = \frac{ \frac{8}{9} }{ \frac{1 \times 3 + 1}{3} } = \frac{ \frac{8}{9} }{ \frac{4}{3} } = \frac{8}{9} \times \frac{3}{4} = \frac{4}{3} \times \frac{1}{2} = \frac{4}{6} = \frac{2}{3}$

sper că te-am ajutat!