Final answer:
The decimal value of 5/6 is 0.8333... with the number 3 repeating indefinitely. This result is found by using long division, where 5 is divided by 6 resulting in a recurring decimal.
Step-by-step explanation:
To find the decimal value of 5/6, we can use long division. We divide 5 by 6. Since 5 is less than 6, we add a decimal point and a zero to 5, making it 50. Now, 6 goes into 50 eight times (6 x 8 = 48), so we write 8 after the decimal point. We subtract 48 from 50, resulting in 2. We then add another zero and bring it down to make it 20. 6 goes into 20 three times (6 x 3 = 18). Subtracting 18 from 20 leaves 2. This process can be repeated, revealing that 6 goes into 20 three times every iteration, so the result will be a repeating decimal. Therefore, the decimal value of 5/6 is 0.8333... with the number 3 repeating indefinitely.