Answer:
[tex]4 \frac{5}{28} [/tex]
Step-by-step explanation:
[tex]4 \frac{7}{8} \div 1 \frac{1}{6} [/tex]
Convert the mixed numbers above to improper fractions
[tex] = \frac{39}{8} \div \frac{7}{6} [/tex]
Rule of basic operation states that when dividing fractions, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that 7/6 becomes 6/7.
[tex] = \frac{39}{8} \times \frac{6}{7} [/tex]
[tex] = \frac{39 \times 6}{8 \times 7} [/tex]
[tex] = \frac{234}{56} [/tex]
Converting the answer above to mixed number result to:
[tex] = 4 \frac{5}{28} [/tex]
