Question

Calculati.. (3/5+2/15-1/10):19/10

Answer 1

 (3/5+2/15-1/10):19/10 = 18+4-3/30 :19/10=19/30*10/19=1/3

-calculezi paranteza prima data

Answer 2

$\Big(\dfrac{3}{5}+\dfrac{2}{15}-\dfrac{1}{10}\Big):\dfrac{19}{10} = \\ \\ = \Big(\dfrac{3}{5}+\dfrac{2}{15}-\dfrac{1}{10}\Big)\cdot \dfrac{10}{19} = \\ \\ = 10\cdot\Big(\dfrac{3}{5}+\dfrac{2}{15}-\dfrac{1}{10}\Big)\cdot \dfrac{1}{19} = \\ \\ = \Big(3\cdot 2+\dfrac{2\cdot 10}{3\cdot 5}-1\Big):19= \\ \\ = \Big(6 - 1+\dfrac{2\cdot 2}{3}\Big) :19= \\ \\ = \Big(^{\big{3)}}5+\dfrac{4}{3}\Big):19 = \\ \\ = \dfrac{15+4}{3}:19 = \\ \\ = \dfrac{19}{3}:19 = \\ \\ = \dfrac{1}{3}$