Answer:
[tex] 4 \dfrac{7}{8} [/tex]
Step-by-step explanation:
Change each mixed numeral into a fraction.
[tex] 8 \dfrac{2}{3} \div 1 \dfrac{7}{9} = [/tex]
[tex] = \dfrac{8 \times 3 + 2}{3} \div \dfrac{1 \times 9 + 7}{9} [/tex]
[tex] = \dfrac{26}{3} \div \dfrac{16}{9} [/tex]
To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.
[tex] = \dfrac{26}{3} \times \dfrac{9}{16} [/tex]
[tex] = \dfrac{26 \times 9}{3 \times 16} [/tex]
[tex] = \dfrac{234}{48} [/tex]
[tex] = \dfrac{39}{8} [/tex]
[tex] = 4 \dfrac{7}{8} [/tex]
