1/9 as a decimal - MathQuadrum

What is 1/9 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 1/9 means 1 divided by 9.
Set Up the Division: You need to divide the numerator (1) by the denominator (9), so the division is 1 ÷ 9.
Perform the Division: Since 1 is less than 9, you can’t divide it as it is. Add a decimal point and a zero after the 1, making it 1.0.
Divide: Now, divide 9 into 10. 9 goes into 10 once (9 x 1 = 9), so you put a 1 in the tenths place of the decimal. Subtract 9 from 10, leaving a remainder of 1.
Bring Down Another Zero: Since there is a remainder, bring down another zero to make it 10.
Repeat the Division Process: Now divide 9 into 10 again. Just like before, 9 goes into 10 once. Write another 1 in the next decimal place. Subtract 9 from 10, leaving a remainder of 1.
Recognize the Pattern: You’ll notice a repeating pattern here. Each time you bring down a zero and divide, you get a quotient of 1 and a remainder of 1. This pattern will continue indefinitely.
Write the Decimal: Since the pattern of getting a quotient of 1 repeats, 1/9 as a decimal is 0.1111…, with the 1 repeating indefinitely.

In summary, to convert 1/9 to a decimal, you divide 1 by 9 and recognize the repeating decimal pattern that emerges, resulting in 0.1111… with the 1 repeating indefinitely.

Explore variety of examples below (the above steps are followed):

General rules: convert fraction to decimal

Practical examples:

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