5/6 as a decimal - MathQuadrum

What is 5/6 as decimal? Let’s explore the exact steps how to convert a fraction to a decimal based on the below example

Understand the Fraction: The fraction 5/6 means 5 divided by 6.
Set Up the Division: To convert the fraction to a decimal, divide the numerator (the top number, which is 5) by the denominator (the bottom number, which is 6). This sets up the division 5 ÷ 6.
Perform the Division: Since 5 is smaller than 6, you can’t divide it as it is. Add a decimal point after the 5, and then add a zero, making it 5.0.
Continue Dividing: Divide 6 into 50 (the 5.0 you wrote down). 6 goes into 50 eight times (since 6 x 8 = 48), so you write an 8 in the tenths place of the decimal. Subtract 48 from 50, leaving a remainder of 2.
Bring Down Another Zero: Add another zero to the remainder to make it 20 (since you still have a remainder).
Repeat the Division Process: Now, divide 6 into 20. 6 goes into 20 three times (6 x 3 = 18) without exceeding 20. So, place a 3 in the next decimal place. Subtract 18 from 20, leaving a remainder of 2.
Recognize the Pattern: As you continue this process, you’ll notice a repeating pattern. The remainder continues to be 2 after each step, leading to a cycle.
Write the Decimal: Since the pattern of remainder 2 repeats, it means the decimal will have a repeating pattern. Therefore, 5/6 as a decimal is 0.8333…, with the 3 repeating indefinitely.