Answer:
1. [tex]2 \frac{2}{7} [/tex]
2. [tex]2 \frac{1}{3} [/tex]
3. [tex] \frac{5}{12} [/tex]
4. [tex]8 \frac{2}{3} [/tex]
5. [tex] \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]1. \: \: 2 \frac{2}{3} \div 1 \frac{1}{6} [/tex]
[tex] \frac{8}{3} \div \frac{7}{6} [/tex]
[tex] \frac{8}{3} \times \frac{6}{7} [/tex]
[tex]8( \frac{2}{7} )[/tex]
[tex] \frac{8 \times 2}{7} [/tex]
[tex] \frac{16}{7} [/tex]
[tex]2 \frac{2}{7} [/tex]
[tex]2. \: \: 6 \frac{2}{3} \div 2 \frac{6}{7} [/tex]
[tex] \frac{20}{3} \div \frac{20}{7} [/tex]
[tex] \frac{20}{3} \times \frac{7}{20} [/tex]
[tex] \frac{1}{3} \times 7[/tex]
[tex] \frac{7}{3} [/tex]
[tex]2 \frac{1}{3} [/tex]
[tex]3. \: \: 4 \frac{1}{6} \div 10[/tex]
[tex] \frac{25}{6} \div \frac{10}{1} [/tex]
[tex] \frac{25}{6} \times \frac{1}{10} [/tex]
[tex] \frac{5}{6} \times \frac{1}{2} [/tex]
[tex] \frac{5}{6 \times 2} [/tex]
[tex] \frac{5}{12} [/tex]
[tex]4. \: \: 6 \frac{1}{2} \div \frac{3}{4} [/tex]
[tex] \frac{13}{2} \div \frac{3}{4} [/tex]
[tex] \frac{13}{2} \times \frac{4}{3} [/tex]
[tex]13( \frac{2}{3} )[/tex]
[tex] \frac{13 \times 2}{3} [/tex]
[tex] \frac{26}{3} [/tex]
[tex]8 \frac{2}{3} [/tex]
[tex]5. \: \: 3 \frac{3}{4} \div 5 \frac{5}{8} [/tex]
[tex] \frac{15}{4} \div \frac{45}{8} [/tex]
[tex] \frac{15}{4} \times \frac{8}{45} [/tex]
[tex] \frac{1}{4} \times \frac{8}{3} [/tex]
[tex] \frac{2}{3} [/tex]
Hope it is helpful...
