Answer:
[tex] \dfrac{6}{7} [/tex]
Step-by-step explanation:
Step 1: Change the mixed numeral to a fraction.
Step 2: To divide by a fraction, multiply by the reciprocal.
[tex] 5 \div 5 \frac{5}{6} = [/tex]
[tex] = 5 \div \dfrac{5 \times 6 + 5}{6} [/tex]
[tex] = 5 \div \dfrac{35}{6} [/tex]
[tex] = \dfrac{5}{1} \times \dfrac{6}{35} [/tex]
[tex] = \dfrac{5 \times 6}{1 \times 35} [/tex]
[tex] = \dfrac{30}{35} [/tex]
[tex] = \dfrac{6}{7} [/tex]
