0 . 42 ×(0.1 6 ÷ 0 . 7) is equal to:

$0 . \overline{42} \times(0.1 \overline{6} \div 0 . \overline{7})$

= \(\frac{42}{99}\) × \(\frac{15}{90}\) × \(\frac{9}{7}\)

= \(\frac{9}{99}\) = $0 . \overline{09}$