[tex]x\times 2 \frac{1}{5} = 1 \frac{1}{10} - \frac{1}{2} [/tex]
[tex]x \times \frac{2 \times 5 + 1}{5} = \frac{1 \times 10 + 1}{10} - \frac{1}{2} [/tex]
[tex]b)x \times \frac{11}{5} = \frac{11}{10} - \frac{1}{2} [/tex]
Amplificam 1 supra 2 cu 5.
[tex] x \times \frac{11}{5} = \frac{11}{10} - \frac{5}{10} [/tex]
[tex]x \times \frac{11}{5} = \frac{6}{10} [/tex]
[tex]x = \frac{6}{10} \div \: \frac{11}{5} [/tex]
[tex]x = \frac{6}{10} \times \frac{5}{11} [/tex]
[tex]x = \frac{6 \times 5}{10 \times 11} [/tex]
[tex]x = \frac{30}{110} [/tex]
Simplificam cu 10 și avem:
[tex]x = \frac{3}{11} [/tex]
[tex]c)1 \frac{1}{4} + \frac{3}{8} \times x = 1 \frac{1}{6} + \frac{1}{2} [/tex]
[tex] \frac{1 \times 4 + 1}{4} + \frac{3}{8} \times x = \frac{1 \times 6 + 1}{6} + \frac{1}{2} [/tex]
[tex] \frac{5}{4} + \frac{3}{8} \times x = \frac{7}{6} + \frac{1}{2} [/tex]
Amplific 5 supra 4 pe 2,iar 1 supra 2 cu 3
[tex] \frac{10}{8} + \frac{3}{8} \times x = \frac{7}{6} + \frac{3}{6} [/tex]
[tex] \frac{13}{8} \times x = \frac{10}{6} [/tex]
[tex]x = \frac{13}{8} \div \frac{10}{6} [/tex]
[tex]x = \frac{13}{8} \times \frac{6}{10} [/tex]
[tex]x = \frac{78}{80} [/tex]
Simplificam prin 2 și avem:
[tex]x = \frac{39}{40} [/tex]
