Question

Stiind ca media a fractiilor zecimale 2,(3) si x este egala cu 1,4(6) determinati fractia zecimala x.
Va rog imi trebuie azi

Answer 1

Răspuns:

$(2.(3) + x) \div 2 = 1.4(6) \\ (\frac{23 - 2}{9} + x) \div 2 = \frac{146 - 14}{90} \\ ( \frac{21}{9} + x) \div 2 = \frac{132}{90} \\ \frac{21 + 9x}{9} \times \frac{1}{2} = \frac{132}{90} \\ \frac{21 + 9x}{18} = \frac{44}{30} \\ \frac{21 + 9x}{18} = \frac{22}{15} \\ 18 \times 22 = 15 \times (21 + 9x) \\ 396 = 315 +135x \\ 81 = 135x \\ x = 0.6$