Question

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Answer 1

$\displaystyle1)8\frac{9}{10}-x=4\frac{5}{6}\\\\ \frac{89}{10}-x=\frac{29}{6}\\\\ -x=\frac{29}{6}-\frac{89}{10}\\\\ -x=-\frac{61}{15}\\\\ x=\frac{61}{15}=4\frac{1}{15} \\\\ 2) \frac{9}{14}+(x-\frac{3}{7})=\frac{23}{28}\\\\ \frac{9}{14}+x-\frac{3}{7}=\frac{23}{28}\\\\ \frac{3}{14}+x=\frac{23}{28}\\\\ x=\frac{23}{28}-\frac{3}{14} \\\\ x=\frac{17}{28}$