Final answer:
To divide the fraction 5/6 by 1/2, you multiply by the reciprocal of 1/2, which is 2/1, to get 10/6, which simplifies to 5/3 or 1 2/3 as a mixed number.
Step-by-step explanation:
To divide fractions, such as 5/6 divided by 1/2, you would multiply by the reciprocal of the divisor. The reciprocal of 1/2 is 2/1. Multiplying by a reciprocal means you flip the second fraction and change the division operation to multiplication.
The calculation for our problem will therefore be:
5/6 × 2/1 = (5 × 2) / (6 × 1) = 10/6
Now, we need to simplify this fraction. Since both numbers are divisible by 2, we divide both the numerator and the denominator by 2.
10/6 simplified is:
10 ÷ 2 = 5
6 ÷ 2 = 3
So, the simplest form is: 5/3 or 1 2/3 as a mixed number.