Question

2,(6)+a=4,8(3)
2,5-a=1,(6)
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Answer 1

$2.(6) + a = 4.8(3)$

$\frac{26 - 2}{9} + a = \frac{483 - 48}{90}$

$\frac{24}{9} + a = \frac{435}{90}$

$\frac{8}{3} + a = \frac{145}{30} \: | \times 30$

$80 + 30a = 145$

$30a = 145 - 80$

$30a = 65$

$a = \frac{65}{30}$

$a = \frac{13}{6}$

$a=2.1(6)$

$2.5 - a = 1.(6)$

$2.5 - a = \frac{16 - 1}{9}$

$2.5 - a = \frac{15}{9}$

$2.5 - a = \frac{5}{3} \: | \times 3$

$7.5 - 3a = 5$

$- 3a = 5 - 7.5$

$- 3a = - 2.5 \: | \times ( - 1)$

$3a = 2.5$

$a = \frac{2.5}{3}$

$a = \frac{ \frac{25}{10} }{3}$

$a = \frac{25}{10} \times \frac{1}{3}$

$a = \frac{25}{30}$

$a = \frac{5}{6}$

$a=0.8(3)$