Explicație pas cu pas:
[tex]\fcolorbox{black}{red}{\textcolor{black}{fractie \: ireductibila = fractie \: care \: nu \: se \: mai \: poate \: simplifica}}[/tex]
[tex]$\mathbf{3) \: h) \frac{45}{76} \div \frac{30}{19} = \frac{45}{76} \times \frac{19}{30} = \frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8} }$[/tex]
[tex]$\mathbf{4)a) \: 4 \frac{1}{6} \div \frac{5}{4} = \frac{4 \times 6 + 1}{6} \div \frac{5}{4} = \frac{24 + 1}{6} \times \frac{4}{5} = \frac{25}{3} \times \frac{2}{5} = \frac{5}{3} \times 2 = \frac{5 \times 2}{3 \times 1} = \frac{10}{3} }$[/tex]
[tex]$\mathbf{b) \frac{8}{9} \div 5 \frac{1}{3} = \frac{8}{9} \div \frac{5 \times 3 + 1}{3} = \frac{8}{9} \div \frac{15 + 1}{3} = \frac{8}{9} \div \frac{16}{3} = \frac{8}{9} \times \frac{3}{16} = \frac{1}{3} \times \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6} }$[/tex]
[tex]$\mathbf{c)2 \frac{1}{6} \div 4 \frac{1}{3} = \frac{2 \times 6 + 1}{6} \div \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{6} \div \frac{12 + 1}{3} = \frac{13}{6} \div \frac{13}{3} = \frac{13}{6} \times \frac{13}{3} = \frac{1}{2} }$[/tex]
[tex]$\mathbf{d)5 \frac{1}{7} \div 3 \frac{3}{14} = \frac{5 \times 7 + 1}{7} \div \frac{3 \times 14 + 3}{14} = \frac{35 + 1}{7} \div \frac{42 + 3}{14} = \frac{36}{7} \div \frac{45}{14} = \frac{36}{7} \times \frac{14}{45} = 4 \times \frac{2}{5} = \frac{4 \times 2}{1 \times 5} = \frac{8}{5} }$[/tex]
Bafta!
