1:
a)
[tex] \frac{2}{5} + \frac{1}{10} \: ampificam \: prima \: fractie \\ cu \: 2 \\ \frac{4}{10} + \frac{1}{10} = \frac{5}{10} = \frac{1}{2} [/tex]
b)
[tex] \frac{2}{3} \times \frac{9}{8} simplificam \: 3 \: si \: 9 \: cu \: 3 \\ 2 \times \frac{3}{8} simplificam \: 2 \: si \: 8 \: cu \: 2 \\ = \frac{3}{4} [/tex]
c)
[tex]2 \frac{3}{4} \div \frac{11}{12} = \\ \frac{11}{4} \div \frac{11}{12} = \frac{11}{4} \times \frac{12}{11} \\ simplficam \: cu \: 11 \: si \: pe \: 4 \: si \: 12 \: cu \: 4 \\ = 3[/tex]
d)
[tex] {( \frac{2}{5}) }^{4} \div {( \frac{2}{5} )}^{2} = {( \frac{2}{5}) }^{2} = \frac{4}{25} [/tex]
2:
a)
[tex] \frac{3}{4} - \frac{5}{12} amplificam \: prima \: \\ fractie \: cu \: 3 \\ = \frac{9}{12} - \frac{5}{12} = \frac{4}{12} = \frac{1}{3} [/tex]
b)
[tex] \frac{4}{5} \times \frac{15}{16} simplificam \: 4 \: si \: 16 \: cu \: 4 \: \\ iar \: pe \: 5 \: si \: 15 \: cu \: 5 \\ = \frac{3}{4} [/tex]
c)
[tex]1 \frac{2}{3} \div \frac{15}{16} = \\ \frac{5}{3} \div \frac{15}{16} = \\ \frac{5}{3} \times \frac{16}{15} = \frac{16}{9} [/tex]
d)
[tex] {( \frac{3}{5}) }^{4} \div {( \frac{3}{5}) }^{3} = \\ {( \frac{3}{5} )}^{1} = \frac{3}{5} [/tex]
