Explicație pas cu pas:
2 / 19 ×[0,(7)+0,2(7)]:0,13(8) =
[tex] \frac{2}{19} \times ( \frac{7}{9} + \frac{27 - 2}{90} ) \div \frac{138 - 13}{900} = [/tex]
[tex] \frac{2}{19} \times ( \frac{7}{9} + \frac{25}{90} ) \div \frac{125}{900} = [/tex]
[tex] \frac{2}{19} \times \frac{70 + 25}{90} \div \frac{5}{36} = [/tex]
[tex] \frac{2}{19} \times \frac{95}{90} \times \frac{36}{5} = [/tex]
[tex] \frac{2 \times 95 \times 36}{19 \times 90 \times 5} = [/tex]
[tex] \frac{2 \times 36}{90} = \frac{36}{45} = \frac{4}{5} [/tex]
