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105 LearnersLast updated on March 29th, 2025
3 1/9 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (the number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 3 1/9 as a decimal?
Answer
3 1/9 in decimals can be written as 3.11111….. It is a recurring decimal, indicating it repeats the same digit infinitely.
Explanation
To convert 3 1/9 into a decimal, we first convert the fraction 1/9. Let's see the step-by-step breakdown of this process:
Step 1: Identify the whole number (3) and the fraction (1/9).
Step 2: Convert the fraction 1/9 into a decimal.
Step 3: Use division to convert 1/9. Here, 1 is smaller than 9, so we use the decimal method, giving us 0.1111.
Step 4: Divide 1 by 9. Since 1 is less than 9, we add a decimal point and a zero, making it 10.
Step 5: Divide 10 by 9 to get 1, with a remainder of 1.
Step 6: Bring down another 0, making it 10 again, and repeat the division. This process continues indefinitely, resulting in a recurring decimal.
Finally, add the whole number 3 to the decimal part to get 3.1111…..
Important Glossaries for 3 1/9 as a decimal
- Mixed Number: A number consisting of an integer and a proper fraction.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
- Whole Number: A number without fractions; an integer.
- Dividend: The number to be divided in a division operation.
- Divisor: The number by which another number is divided.
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