Final answer:
To evaluate the numerical expression 5 5/6 divided by 5 1/6, convert the mixed numbers into improper fractions and then divide the fractions by multiplying with the reciprocal. Finally, simplify the resulting fraction to obtain the answer 35/31.
Step-by-step explanation:
To evaluate the numerical expression 5 5/6 divided by 5 1/6, we need to convert the mixed numbers into improper fractions. 5 5/6 becomes 35/6 and 5 1/6 becomes 31/6. Therefore, the expression becomes (35/6) / (31/6). To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. So, (35/6) / (31/6) becomes (35/6) * (6/31). Multiplying the numerators and the denominators gives us (35*6) / (6*31) = 210/186.
Now, we simplify the fraction. Both the numerator and denominator are divisible by 6, so we can reduce the fraction to its simplest form. 210 divided by 6 is 35, and 186 divided by 6 is 31. Therefore, the simplified fraction is 35/31.
The final answer is 35/31.
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