Question

calculați media aritmetică a numerelor:a=1/2-0,(3) b=0,8-0,(3):0,(6)

Answer 1

$a = \frac{1}{2} - 0.(3) \\ a= \frac{1}{2} - \frac{3}{9} \\ a = \frac{1}{2} - \frac{1}{3} \\ a = \frac{3}{6} - \frac{2}{6} \\ a= \frac{3 - 2}{6} \\ a = \frac{1}{6}$

$b = 0.8 - 0.(3) \div 0.(6) \\ b= \frac{8}{10} - \frac{3}{9} \div \frac{6}{9}$

$b = \frac{4}{5} - \frac{3}{9} \times \frac{9}{6}$

$b = \frac{4}{5} - \frac{3}{6}$

$b = \frac{4}{5} - \frac{1}{2}$

$b = \frac{8}{10} - \frac{5}{10}$

$b = \frac{8 - 5}{10}$

$b = \frac{3}{10}$

$ma = (a + b) \div 2$

$ma = ( \frac{1}{6} + \frac{3}{10} ) \div 2$

$ma = ( \frac{5}{30} + \frac{9}{30} ) \div 2$

$ma = \frac{5 + 9}{30} \times \frac{1}{2}$

$ma = \frac{14 }{30} \times \frac{1}{2}$

$ma = \frac{14}{60}$

$ma = \frac{7}{30}$