# order of operations with fractions. simplify. 5/9 \times 1/2 + 7/19 divide

order of operations with fractions. simplify. $\frac{5}{9}×\frac{1}{2}+\frac{7}{19}$ divided by $\frac{18}{19}$

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Given
$\frac{5}{9}×\frac{7}{19}+\frac{7}{19}÷\frac{18}{19}$
$⇒\frac{5}{9}×\frac{1}{2}+\frac{7}{19}×\frac{19}{18}$
$⇒\frac{5}{18}+\frac{7}{18}$
$⇒\frac{5+7}{18}=\frac{12}{18}=\frac{2}{3}$
$⇒\frac{5}{9}×\frac{1}{2}+\frac{7}{19}÷\frac{18}{19}=\frac{2}{3}$