What is the result of dividing 5/6 by 1/8?

To determine the result of dividing 5/6 by 1/8, you need to remember that dividing by a fraction is the same as multiplying by its reciprocal.

The reciprocal of 1/8 is 8/1. Thus, dividing 5/6 by 1/8 can be rewritten as:

(5/6) ÷ (1/8) = (5/6) × (8/1).

When you multiply fractions, you multiply the numerators together and the denominators together:

Numerator: 5 × 8 = 40,

Denominator: 6 × 1 = 6.

Putting these together gives you the fraction 40/6.

This fraction can be simplified, but as it stands, 40/6 is indeed the result of the operation, which aligns with the provided answer.

The understanding of how to handle division of fractions and confirming that multiplying by the reciprocal yields a straightforward outcome is key here.